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Finding the Fourth Proportional to 466,900.92, 644,347.24 and 285,555.96

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Solution

The fourth proportional to 466,900.92, 644,347.24 and 285,555.96 is: 394,081.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,900.92 : 644,347.24 = 285,555.96 : x
  2. Step 2: Convert to fraction form
    466,900.92/644,347.24 = 285,555.96/x
  3. Step 3: Cross multiply
    466,900.92x = 644,347.24 × 285,555.96
  4. Step 4: Simplify right side
    466,900.92x = 183,997,194,691.55
  5. Step 5: Solve for x
    x = 183,997,194,691.55/466,900.92
  6. Step 6: Final answer
    x = 394,081.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.