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Finding the Fourth Proportional to 426,763.96, 588,940.47 and 235,781.75

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Solution

The fourth proportional to 426,763.96, 588,940.47 and 235,781.75 is: 325,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,763.96 : 588,940.47 = 235,781.75 : x
  2. Step 2: Convert to fraction form
    426,763.96/588,940.47 = 235,781.75/x
  3. Step 3: Cross multiply
    426,763.96x = 588,940.47 × 235,781.75
  4. Step 4: Simplify right side
    426,763.96x = 138,861,416,134.77
  5. Step 5: Solve for x
    x = 138,861,416,134.77/426,763.96
  6. Step 6: Final answer
    x = 325,382.25

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Why These Related Problems?

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