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Finding the Fourth Proportional to 652,113.80, 978,462.30 and 231,691.40

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Solution

The fourth proportional to 652,113.80, 978,462.30 and 231,691.40 is: 347,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,113.80 : 978,462.30 = 231,691.40 : x
  2. Step 2: Convert to fraction form
    652,113.80/978,462.30 = 231,691.40/x
  3. Step 3: Cross multiply
    652,113.80x = 978,462.30 × 231,691.40
  4. Step 4: Simplify right side
    652,113.80x = 226,701,300,134.22
  5. Step 5: Solve for x
    x = 226,701,300,134.22/652,113.80
  6. Step 6: Final answer
    x = 347,640.70

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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.