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Finding the Fourth Proportional to 438,174.93, 657,255.57 and 224,819.72

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Solution

The fourth proportional to 438,174.93, 657,255.57 and 224,819.72 is: 337,226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,174.93 : 657,255.57 = 224,819.72 : x
  2. Step 2: Convert to fraction form
    438,174.93/657,255.57 = 224,819.72/x
  3. Step 3: Cross multiply
    438,174.93x = 657,255.57 × 224,819.72
  4. Step 4: Simplify right side
    438,174.93x = 147,764,011,551.20
  5. Step 5: Solve for x
    x = 147,764,011,551.20/438,174.93
  6. Step 6: Final answer
    x = 337,226.07

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Why These Related Problems?

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