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Finding the Fourth Proportional to 308,332.98, 462,499.68 and 83,693.46

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Solution

The fourth proportional to 308,332.98, 462,499.68 and 83,693.46 is: 125,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,332.98 : 462,499.68 = 83,693.46 : x
  2. Step 2: Convert to fraction form
    308,332.98/462,499.68 = 83,693.46/x
  3. Step 3: Cross multiply
    308,332.98x = 462,499.68 × 83,693.46
  4. Step 4: Simplify right side
    308,332.98x = 38,708,198,468.09
  5. Step 5: Solve for x
    x = 38,708,198,468.09/308,332.98
  6. Step 6: Final answer
    x = 125,540.25

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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.