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Finding the Fourth Proportional to 414,111.97, 571,471.13 and 261,248.87

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Solution

The fourth proportional to 414,111.97, 571,471.13 and 261,248.87 is: 360,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,111.97 : 571,471.13 = 261,248.87 : x
  2. Step 2: Convert to fraction form
    414,111.97/571,471.13 = 261,248.87/x
  3. Step 3: Cross multiply
    414,111.97x = 571,471.13 × 261,248.87
  4. Step 4: Simplify right side
    414,111.97x = 149,296,186,950.12
  5. Step 5: Solve for x
    x = 149,296,186,950.12/414,111.97
  6. Step 6: Final answer
    x = 360,521.30

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1.5x scale

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.