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Finding the Fourth Proportional to 498,534.34, 747,644.66 and 161,496.80

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Solution

The fourth proportional to 498,534.34, 747,644.66 and 161,496.80 is: 242,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,534.34 : 747,644.66 = 161,496.80 : x
  2. Step 2: Convert to fraction form
    498,534.34/747,644.66 = 161,496.80/x
  3. Step 3: Cross multiply
    498,534.34x = 747,644.66 × 161,496.80
  4. Step 4: Simplify right side
    498,534.34x = 120,742,215,581.38
  5. Step 5: Solve for x
    x = 120,742,215,581.38/498,534.34
  6. Step 6: Final answer
    x = 242,194.38

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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.