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Finding the Fourth Proportional to 498,411.90, 747,727.20 and 161,395.20

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Solution

The fourth proportional to 498,411.90, 747,727.20 and 161,395.20 is: 242,128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,411.90 : 747,727.20 = 161,395.20 : x
  2. Step 2: Convert to fraction form
    498,411.90/747,727.20 = 161,395.20/x
  3. Step 3: Cross multiply
    498,411.90x = 747,727.20 × 161,395.20
  4. Step 4: Simplify right side
    498,411.90x = 120,679,580,989.44
  5. Step 5: Solve for x
    x = 120,679,580,989.44/498,411.90
  6. Step 6: Final answer
    x = 242,128.21

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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.