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Finding the Fourth Proportional to 498,468.64, 747,820.82 and 161,508.73

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Solution

The fourth proportional to 498,468.64, 747,820.82 and 161,508.73 is: 242,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,468.64 : 747,820.82 = 161,508.73 : x
  2. Step 2: Convert to fraction form
    498,468.64/747,820.82 = 161,508.73/x
  3. Step 3: Cross multiply
    498,468.64x = 747,820.82 × 161,508.73
  4. Step 4: Simplify right side
    498,468.64x = 120,779,590,905.76
  5. Step 5: Solve for x
    x = 120,779,590,905.76/498,468.64
  6. Step 6: Final answer
    x = 242,301.28

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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.