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Finding the Fourth Proportional to 415,217.68, 573,000.39 and 224,231.06

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Solution

The fourth proportional to 415,217.68, 573,000.39 and 224,231.06 is: 309,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,217.68 : 573,000.39 = 224,231.06 : x
  2. Step 2: Convert to fraction form
    415,217.68/573,000.39 = 224,231.06/x
  3. Step 3: Cross multiply
    415,217.68x = 573,000.39 × 224,231.06
  4. Step 4: Simplify right side
    415,217.68x = 128,484,481,965.11
  5. Step 5: Solve for x
    x = 128,484,481,965.11/415,217.68
  6. Step 6: Final answer
    x = 309,438.86

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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.