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Finding the Fourth Proportional to 299,660.39, 413,543.90 and 172,336.08

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Solution

The fourth proportional to 299,660.39, 413,543.90 and 172,336.08 is: 237,831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,660.39 : 413,543.90 = 172,336.08 : x
  2. Step 2: Convert to fraction form
    299,660.39/413,543.90 = 172,336.08/x
  3. Step 3: Cross multiply
    299,660.39x = 413,543.90 × 172,336.08
  4. Step 4: Simplify right side
    299,660.39x = 71,268,535,064.75
  5. Step 5: Solve for x
    x = 71,268,535,064.75/299,660.39
  6. Step 6: Final answer
    x = 237,831.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.