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Finding the Fourth Proportional to 287,737.20, 431,730.18 and 154,461.82

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Solution

The fourth proportional to 287,737.20, 431,730.18 and 154,461.82 is: 231,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,737.20 : 431,730.18 = 154,461.82 : x
  2. Step 2: Convert to fraction form
    287,737.20/431,730.18 = 154,461.82/x
  3. Step 3: Cross multiply
    287,737.20x = 431,730.18 × 154,461.82
  4. Step 4: Simplify right side
    287,737.20x = 66,685,829,351.73
  5. Step 5: Solve for x
    x = 66,685,829,351.73/287,737.20
  6. Step 6: Final answer
    x = 231,759.50

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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.