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Finding the Fourth Proportional to 415,772.82, 573,766.20 and 224,786.34

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Solution

The fourth proportional to 415,772.82, 573,766.20 and 224,786.34 is: 310,204.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,772.82 : 573,766.20 = 224,786.34 : x
  2. Step 2: Convert to fraction form
    415,772.82/573,766.20 = 224,786.34/x
  3. Step 3: Cross multiply
    415,772.82x = 573,766.20 × 224,786.34
  4. Step 4: Simplify right side
    415,772.82x = 128,974,804,113.71
  5. Step 5: Solve for x
    x = 128,974,804,113.71/415,772.82
  6. Step 6: Final answer
    x = 310,204.99

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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.