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Finding the Fourth Proportional to 498,345.70, 747,627.90 and 161,401.90

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Solution

The fourth proportional to 498,345.70, 747,627.90 and 161,401.90 is: 242,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,345.70 : 747,627.90 = 161,401.90 : x
  2. Step 2: Convert to fraction form
    498,345.70/747,627.90 = 161,401.90/x
  3. Step 3: Cross multiply
    498,345.70x = 747,627.90 × 161,401.90
  4. Step 4: Simplify right side
    498,345.70x = 120,668,563,553.01
  5. Step 5: Solve for x
    x = 120,668,563,553.01/498,345.70
  6. Step 6: Final answer
    x = 242,138.27

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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.