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Finding the Fourth Proportional to 601,269.92, 829,722.78 and 329,339

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Solution

The fourth proportional to 601,269.92, 829,722.78 and 329,339 is: 454,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,269.92 : 829,722.78 = 329,339 : x
  2. Step 2: Convert to fraction form
    601,269.92/829,722.78 = 329,339/x
  3. Step 3: Cross multiply
    601,269.92x = 829,722.78 × 329,339
  4. Step 4: Simplify right side
    601,269.92x = 273,260,070,642.42
  5. Step 5: Solve for x
    x = 273,260,070,642.42/601,269.92
  6. Step 6: Final answer
    x = 454,471.55

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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.