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Finding the Fourth Proportional to 522,009.40, 783,014.10 and 417,033.40

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Solution

The fourth proportional to 522,009.40, 783,014.10 and 417,033.40 is: 625,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,009.40 : 783,014.10 = 417,033.40 : x
  2. Step 2: Convert to fraction form
    522,009.40/783,014.10 = 417,033.40/x
  3. Step 3: Cross multiply
    522,009.40x = 783,014.10 × 417,033.40
  4. Step 4: Simplify right side
    522,009.40x = 326,543,032,370.94
  5. Step 5: Solve for x
    x = 326,543,032,370.94/522,009.40
  6. Step 6: Final answer
    x = 625,550.10

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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.