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Finding the Fourth Proportional to 600,989.83, 829,340.32 and 329,052.78

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Solution

The fourth proportional to 600,989.83, 829,340.32 and 329,052.78 is: 454,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,989.83 : 829,340.32 = 329,052.78 : x
  2. Step 2: Convert to fraction form
    600,989.83/829,340.32 = 329,052.78/x
  3. Step 3: Cross multiply
    600,989.83x = 829,340.32 × 329,052.78
  4. Step 4: Simplify right side
    600,989.83x = 272,896,737,656.43
  5. Step 5: Solve for x
    x = 272,896,737,656.43/600,989.83
  6. Step 6: Final answer
    x = 454,078.80

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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.