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Finding the Fourth Proportional to 498,534.29, 747,644.58 and 161,496.74

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Solution

The fourth proportional to 498,534.29, 747,644.58 and 161,496.74 is: 242,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,534.29 : 747,644.58 = 161,496.74 : x
  2. Step 2: Convert to fraction form
    498,534.29/747,644.58 = 161,496.74/x
  3. Step 3: Cross multiply
    498,534.29x = 747,644.58 × 161,496.74
  4. Step 4: Simplify right side
    498,534.29x = 120,742,158,610.45
  5. Step 5: Solve for x
    x = 120,742,158,610.45/498,534.29
  6. Step 6: Final answer
    x = 242,194.29

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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.