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Finding the Fourth Proportional to 415,866.47, 573,895.74 and 224,879.87

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Solution

The fourth proportional to 415,866.47, 573,895.74 and 224,879.87 is: 310,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,866.47 : 573,895.74 = 224,879.87 : x
  2. Step 2: Convert to fraction form
    415,866.47/573,895.74 = 224,879.87/x
  3. Step 3: Cross multiply
    415,866.47x = 573,895.74 × 224,879.87
  4. Step 4: Simplify right side
    415,866.47x = 129,057,599,404.75
  5. Step 5: Solve for x
    x = 129,057,599,404.75/415,866.47
  6. Step 6: Final answer
    x = 310,334.23

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