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Finding the Fourth Proportional to 522,071.10, 783,106.65 and 242,135.10

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Solution

The fourth proportional to 522,071.10, 783,106.65 and 242,135.10 is: 363,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,071.10 : 783,106.65 = 242,135.10 : x
  2. Step 2: Convert to fraction form
    522,071.10/783,106.65 = 242,135.10/x
  3. Step 3: Cross multiply
    522,071.10x = 783,106.65 × 242,135.10
  4. Step 4: Simplify right side
    522,071.10x = 189,617,607,008.42
  5. Step 5: Solve for x
    x = 189,617,607,008.42/522,071.10
  6. Step 6: Final answer
    x = 363,202.65

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.