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Finding the Fourth Proportional to 498,305.50, 747,577.32 and 161,346.54

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Solution

The fourth proportional to 498,305.50, 747,577.32 and 161,346.54 is: 242,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,305.50 : 747,577.32 = 161,346.54 : x
  2. Step 2: Convert to fraction form
    498,305.50/747,577.32 = 161,346.54/x
  3. Step 3: Cross multiply
    498,305.50x = 747,577.32 × 161,346.54
  4. Step 4: Simplify right side
    498,305.50x = 120,619,016,162.84
  5. Step 5: Solve for x
    x = 120,619,016,162.84/498,305.50
  6. Step 6: Final answer
    x = 242,058.37

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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.