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Finding the Fourth Proportional to 601,391.32, 829,920.06 and 329,468.92

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Solution

The fourth proportional to 601,391.32, 829,920.06 and 329,468.92 is: 454,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,391.32 : 829,920.06 = 329,468.92 : x
  2. Step 2: Convert to fraction form
    601,391.32/829,920.06 = 329,468.92/x
  3. Step 3: Cross multiply
    601,391.32x = 829,920.06 × 329,468.92
  4. Step 4: Simplify right side
    601,391.32x = 273,432,865,854.54
  5. Step 5: Solve for x
    x = 273,432,865,854.54/601,391.32
  6. Step 6: Final answer
    x = 454,667.13

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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.