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Finding the Fourth Proportional to 284,080.43, 391,713.11 and 232,235.71

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Solution

The fourth proportional to 284,080.43, 391,713.11 and 232,235.71 is: 320,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,080.43 : 391,713.11 = 232,235.71 : x
  2. Step 2: Convert to fraction form
    284,080.43/391,713.11 = 232,235.71/x
  3. Step 3: Cross multiply
    284,080.43x = 391,713.11 × 232,235.71
  4. Step 4: Simplify right side
    284,080.43x = 90,969,771,981.06
  5. Step 5: Solve for x
    x = 90,969,771,981.06/284,080.43
  6. Step 6: Final answer
    x = 320,225.41

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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.