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Finding the Fourth Proportional to 414,068.33, 571,343.06 and 232,755.10

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Solution

The fourth proportional to 414,068.33, 571,343.06 and 232,755.10 is: 321,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,068.33 : 571,343.06 = 232,755.10 : x
  2. Step 2: Convert to fraction form
    414,068.33/571,343.06 = 232,755.10/x
  3. Step 3: Cross multiply
    414,068.33x = 571,343.06 × 232,755.10
  4. Step 4: Simplify right side
    414,068.33x = 132,983,007,044.12
  5. Step 5: Solve for x
    x = 132,983,007,044.12/414,068.33
  6. Step 6: Final answer
    x = 321,161.99

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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.