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Finding the Fourth Proportional to 414,463.06, 571,908.28 and 261,443.80

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Solution

The fourth proportional to 414,463.06, 571,908.28 and 261,443.80 is: 360,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,463.06 : 571,908.28 = 261,443.80 : x
  2. Step 2: Convert to fraction form
    414,463.06/571,908.28 = 261,443.80/x
  3. Step 3: Cross multiply
    414,463.06x = 571,908.28 × 261,443.80
  4. Step 4: Simplify right side
    414,463.06x = 149,521,869,807.90
  5. Step 5: Solve for x
    x = 149,521,869,807.90/414,463.06
  6. Step 6: Final answer
    x = 360,760.43

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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.