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Finding the Fourth Proportional to 415,854, 573,878.72 and 224,867.34

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Solution

The fourth proportional to 415,854, 573,878.72 and 224,867.34 is: 310,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,854 : 573,878.72 = 224,867.34 : x
  2. Step 2: Convert to fraction form
    415,854/573,878.72 = 224,867.34/x
  3. Step 3: Cross multiply
    415,854x = 573,878.72 × 224,867.34
  4. Step 4: Simplify right side
    415,854x = 129,046,581,811.17
  5. Step 5: Solve for x
    x = 129,046,581,811.17/415,854
  6. Step 6: Final answer
    x = 310,317.04

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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.