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Finding the Fourth Proportional to 415,151.48, 622,727.88 and 115,632.92

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Solution

The fourth proportional to 415,151.48, 622,727.88 and 115,632.92 is: 173,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,151.48 : 622,727.88 = 115,632.92 : x
  2. Step 2: Convert to fraction form
    415,151.48/622,727.88 = 115,632.92/x
  3. Step 3: Cross multiply
    415,151.48x = 622,727.88 × 115,632.92
  4. Step 4: Simplify right side
    415,151.48x = 72,007,843,129.81
  5. Step 5: Solve for x
    x = 72,007,843,129.81/415,151.48
  6. Step 6: Final answer
    x = 173,449.56

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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.