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Finding the Fourth Proportional to 414,371.88, 571,626.18 and 261,599.40

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Solution

The fourth proportional to 414,371.88, 571,626.18 and 261,599.40 is: 360,876.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,371.88 : 571,626.18 = 261,599.40 : x
  2. Step 2: Convert to fraction form
    414,371.88/571,626.18 = 261,599.40/x
  3. Step 3: Cross multiply
    414,371.88x = 571,626.18 × 261,599.40
  4. Step 4: Simplify right side
    414,371.88x = 149,537,065,712.29
  5. Step 5: Solve for x
    x = 149,537,065,712.29/414,371.88
  6. Step 6: Final answer
    x = 360,876.48

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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.