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Finding the Fourth Proportional to 413,851.40, 571,072.38 and 232,534.52

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Solution

The fourth proportional to 413,851.40, 571,072.38 and 232,534.52 is: 320,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,851.40 : 571,072.38 = 232,534.52 : x
  2. Step 2: Convert to fraction form
    413,851.40/571,072.38 = 232,534.52/x
  3. Step 3: Cross multiply
    413,851.40x = 571,072.38 × 232,534.52
  4. Step 4: Simplify right side
    413,851.40x = 132,794,041,768.56
  5. Step 5: Solve for x
    x = 132,794,041,768.56/413,851.40
  6. Step 6: Final answer
    x = 320,873.73

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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.