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Finding the Fourth Proportional to 601,370.31, 829,892.03 and 329,432.28

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Solution

The fourth proportional to 601,370.31, 829,892.03 and 329,432.28 is: 454,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,370.31 : 829,892.03 = 329,432.28 : x
  2. Step 2: Convert to fraction form
    601,370.31/829,892.03 = 329,432.28/x
  3. Step 3: Cross multiply
    601,370.31x = 829,892.03 × 329,432.28
  4. Step 4: Simplify right side
    601,370.31x = 273,393,218,623.69
  5. Step 5: Solve for x
    x = 273,393,218,623.69/601,370.31
  6. Step 6: Final answer
    x = 454,617.09

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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.