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Finding the Fourth Proportional to 498,787.91, 748,286.94 and 161,802.25

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Solution

The fourth proportional to 498,787.91, 748,286.94 and 161,802.25 is: 242,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,787.91 : 748,286.94 = 161,802.25 : x
  2. Step 2: Convert to fraction form
    498,787.91/748,286.94 = 161,802.25/x
  3. Step 3: Cross multiply
    498,787.91x = 748,286.94 × 161,802.25
  4. Step 4: Simplify right side
    498,787.91x = 121,074,509,153.55
  5. Step 5: Solve for x
    x = 121,074,509,153.55/498,787.91
  6. Step 6: Final answer
    x = 242,737.46

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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.