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Finding the Fourth Proportional to 461,522.80, 692,593.80 and 162,002.80

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Solution

The fourth proportional to 461,522.80, 692,593.80 and 162,002.80 is: 243,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,522.80 : 692,593.80 = 162,002.80 : x
  2. Step 2: Convert to fraction form
    461,522.80/692,593.80 = 162,002.80/x
  3. Step 3: Cross multiply
    461,522.80x = 692,593.80 × 162,002.80
  4. Step 4: Simplify right side
    461,522.80x = 112,202,134,862.64
  5. Step 5: Solve for x
    x = 112,202,134,862.64/461,522.80
  6. Step 6: Final answer
    x = 243,112.88

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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.