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Finding the Fourth Proportional to 414,809.91, 571,232.25 and 360,337.14

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Solution

The fourth proportional to 414,809.91, 571,232.25 and 360,337.14 is: 496,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,809.91 : 571,232.25 = 360,337.14 : x
  2. Step 2: Convert to fraction form
    414,809.91/571,232.25 = 360,337.14/x
  3. Step 3: Cross multiply
    414,809.91x = 571,232.25 × 360,337.14
  4. Step 4: Simplify right side
    414,809.91x = 205,836,195,240.77
  5. Step 5: Solve for x
    x = 205,836,195,240.77/414,809.91
  6. Step 6: Final answer
    x = 496,218.12

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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.