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Finding the Fourth Proportional to 642,540, 886,724.64 and 356,033.28

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Solution

The fourth proportional to 642,540, 886,724.64 and 356,033.28 is: 491,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,540 : 886,724.64 = 356,033.28 : x
  2. Step 2: Convert to fraction form
    642,540/886,724.64 = 356,033.28/x
  3. Step 3: Cross multiply
    642,540x = 886,724.64 × 356,033.28
  4. Step 4: Simplify right side
    642,540x = 315,703,482,036.02
  5. Step 5: Solve for x
    x = 315,703,482,036.02/642,540
  6. Step 6: Final answer
    x = 491,336.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.