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Finding the Fourth Proportional to 414,070.26, 571,437.23 and 232,839.24

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Solution

The fourth proportional to 414,070.26, 571,437.23 and 232,839.24 is: 321,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,070.26 : 571,437.23 = 232,839.24 : x
  2. Step 2: Convert to fraction form
    414,070.26/571,437.23 = 232,839.24/x
  3. Step 3: Cross multiply
    414,070.26x = 571,437.23 × 232,839.24
  4. Step 4: Simplify right side
    414,070.26x = 133,053,010,340.91
  5. Step 5: Solve for x
    x = 133,053,010,340.91/414,070.26
  6. Step 6: Final answer
    x = 321,329.55

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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.