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Finding the Fourth Proportional to 590,712.16, 815,134.02 and 332,612.68

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Solution

The fourth proportional to 590,712.16, 815,134.02 and 332,612.68 is: 458,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,712.16 : 815,134.02 = 332,612.68 : x
  2. Step 2: Convert to fraction form
    590,712.16/815,134.02 = 332,612.68/x
  3. Step 3: Cross multiply
    590,712.16x = 815,134.02 × 332,612.68
  4. Step 4: Simplify right side
    590,712.16x = 271,123,910,951.37
  5. Step 5: Solve for x
    x = 271,123,910,951.37/590,712.16
  6. Step 6: Final answer
    x = 458,978.04

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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.