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Finding the Fourth Proportional to 415,761.20, 623,641.80 and 149,530.40

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Solution

The fourth proportional to 415,761.20, 623,641.80 and 149,530.40 is: 224,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,761.20 : 623,641.80 = 149,530.40 : x
  2. Step 2: Convert to fraction form
    415,761.20/623,641.80 = 149,530.40/x
  3. Step 3: Cross multiply
    415,761.20x = 623,641.80 × 149,530.40
  4. Step 4: Simplify right side
    415,761.20x = 93,253,407,810.72
  5. Step 5: Solve for x
    x = 93,253,407,810.72/415,761.20
  6. Step 6: Final answer
    x = 224,295.60

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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.