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Finding the Fourth Proportional to 498,218.52, 747,446.40 and 161,259.23

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Solution

The fourth proportional to 498,218.52, 747,446.40 and 161,259.23 is: 241,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,218.52 : 747,446.40 = 161,259.23 : x
  2. Step 2: Convert to fraction form
    498,218.52/747,446.40 = 161,259.23/x
  3. Step 3: Cross multiply
    498,218.52x = 747,446.40 × 161,259.23
  4. Step 4: Simplify right side
    498,218.52x = 120,532,627,193.04
  5. Step 5: Solve for x
    x = 120,532,627,193.04/498,218.52
  6. Step 6: Final answer
    x = 241,927.23

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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.