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Finding the Fourth Proportional to 415,948.23, 574,008.54 and 224,961.64

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Solution

The fourth proportional to 415,948.23, 574,008.54 and 224,961.64 is: 310,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,948.23 : 574,008.54 = 224,961.64 : x
  2. Step 2: Convert to fraction form
    415,948.23/574,008.54 = 224,961.64/x
  3. Step 3: Cross multiply
    415,948.23x = 574,008.54 × 224,961.64
  4. Step 4: Simplify right side
    415,948.23x = 129,129,902,532.41
  5. Step 5: Solve for x
    x = 129,129,902,532.41/415,948.23
  6. Step 6: Final answer
    x = 310,447.05

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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.