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Finding the Fourth Proportional to 438,216.57, 657,317.98 and 224,861.40

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Solution

The fourth proportional to 438,216.57, 657,317.98 and 224,861.40 is: 337,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,216.57 : 657,317.98 = 224,861.40 : x
  2. Step 2: Convert to fraction form
    438,216.57/657,317.98 = 224,861.40/x
  3. Step 3: Cross multiply
    438,216.57x = 657,317.98 × 224,861.40
  4. Step 4: Simplify right side
    438,216.57x = 147,805,441,227.97
  5. Step 5: Solve for x
    x = 147,805,441,227.97/438,216.57
  6. Step 6: Final answer
    x = 337,288.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.