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Finding the Fourth Proportional to 647,538.10, 971,307.15 and 498,066.10

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Solution

The fourth proportional to 647,538.10, 971,307.15 and 498,066.10 is: 747,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,538.10 : 971,307.15 = 498,066.10 : x
  2. Step 2: Convert to fraction form
    647,538.10/971,307.15 = 498,066.10/x
  3. Step 3: Cross multiply
    647,538.10x = 971,307.15 × 498,066.10
  4. Step 4: Simplify right side
    647,538.10x = 483,775,164,102.62
  5. Step 5: Solve for x
    x = 483,775,164,102.62/647,538.10
  6. Step 6: Final answer
    x = 747,099.15

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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.