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Finding the Fourth Proportional to 601,370.56, 829,892.37 and 329,432.53

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Solution

The fourth proportional to 601,370.56, 829,892.37 and 329,432.53 is: 454,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,370.56 : 829,892.37 = 329,432.53 : x
  2. Step 2: Convert to fraction form
    601,370.56/829,892.37 = 329,432.53/x
  3. Step 3: Cross multiply
    601,370.56x = 829,892.37 × 329,432.53
  4. Step 4: Simplify right side
    601,370.56x = 273,393,539,750.92
  5. Step 5: Solve for x
    x = 273,393,539,750.92/601,370.56
  6. Step 6: Final answer
    x = 454,617.43

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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.