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Finding the Fourth Proportional to 415,774.68, 573,769.11 and 224,788.02

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Solution

The fourth proportional to 415,774.68, 573,769.11 and 224,788.02 is: 310,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,774.68 : 573,769.11 = 224,788.02 : x
  2. Step 2: Convert to fraction form
    415,774.68/573,769.11 = 224,788.02/x
  3. Step 3: Cross multiply
    415,774.68x = 573,769.11 × 224,788.02
  4. Step 4: Simplify right side
    415,774.68x = 128,976,422,174.06
  5. Step 5: Solve for x
    x = 128,976,422,174.06/415,774.68
  6. Step 6: Final answer
    x = 310,207.50

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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.