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Finding the Fourth Proportional to 308,092.32, 462,044.40 and 130,596

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Solution

The fourth proportional to 308,092.32, 462,044.40 and 130,596 is: 195,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,092.32 : 462,044.40 = 130,596 : x
  2. Step 2: Convert to fraction form
    308,092.32/462,044.40 = 130,596/x
  3. Step 3: Cross multiply
    308,092.32x = 462,044.40 × 130,596
  4. Step 4: Simplify right side
    308,092.32x = 60,341,150,462.40
  5. Step 5: Solve for x
    x = 60,341,150,462.40/308,092.32
  6. Step 6: Final answer
    x = 195,854.12

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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.