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Finding the Fourth Proportional to 576,269.62, 863,704.54 and 407,839.17

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Solution

The fourth proportional to 576,269.62, 863,704.54 and 407,839.17 is: 611,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,269.62 : 863,704.54 = 407,839.17 : x
  2. Step 2: Convert to fraction form
    576,269.62/863,704.54 = 407,839.17/x
  3. Step 3: Cross multiply
    576,269.62x = 863,704.54 × 407,839.17
  4. Step 4: Simplify right side
    576,269.62x = 352,252,542,718.83
  5. Step 5: Solve for x
    x = 352,252,542,718.83/576,269.62
  6. Step 6: Final answer
    x = 611,263.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.