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Finding the Fourth Proportional to 415,434.72, 573,299.19 and 224,447.52

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Solution

The fourth proportional to 415,434.72, 573,299.19 and 224,447.52 is: 309,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,434.72 : 573,299.19 = 224,447.52 : x
  2. Step 2: Convert to fraction form
    415,434.72/573,299.19 = 224,447.52/x
  3. Step 3: Cross multiply
    415,434.72x = 573,299.19 × 224,447.52
  4. Step 4: Simplify right side
    415,434.72x = 128,675,581,413.51
  5. Step 5: Solve for x
    x = 128,675,581,413.51/415,434.72
  6. Step 6: Final answer
    x = 309,737.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.