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Finding the Fourth Proportional to 498,450.60, 747,748.80 and 161,433.90

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Solution

The fourth proportional to 498,450.60, 747,748.80 and 161,433.90 is: 242,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,450.60 : 747,748.80 = 161,433.90 : x
  2. Step 2: Convert to fraction form
    498,450.60/747,748.80 = 161,433.90/x
  3. Step 3: Cross multiply
    498,450.60x = 747,748.80 × 161,433.90
  4. Step 4: Simplify right side
    498,450.60x = 120,712,005,004.32
  5. Step 5: Solve for x
    x = 120,712,005,004.32/498,450.60
  6. Step 6: Final answer
    x = 242,174.46

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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.