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Finding the Fourth Proportional to 414,417.71, 571,895.62 and 233,129.78

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Solution

The fourth proportional to 414,417.71, 571,895.62 and 233,129.78 is: 321,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,417.71 : 571,895.62 = 233,129.78 : x
  2. Step 2: Convert to fraction form
    414,417.71/571,895.62 = 233,129.78/x
  3. Step 3: Cross multiply
    414,417.71x = 571,895.62 × 233,129.78
  4. Step 4: Simplify right side
    414,417.71x = 133,325,900,073.56
  5. Step 5: Solve for x
    x = 133,325,900,073.56/414,417.71
  6. Step 6: Final answer
    x = 321,718.64

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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.