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Finding the Fourth Proportional to 294,726.43, 442,398.87 and 261,207.01

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Solution

The fourth proportional to 294,726.43, 442,398.87 and 261,207.01 is: 392,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,726.43 : 442,398.87 = 261,207.01 : x
  2. Step 2: Convert to fraction form
    294,726.43/442,398.87 = 261,207.01/x
  3. Step 3: Cross multiply
    294,726.43x = 442,398.87 × 261,207.01
  4. Step 4: Simplify right side
    294,726.43x = 115,557,686,613.08
  5. Step 5: Solve for x
    x = 115,557,686,613.08/294,726.43
  6. Step 6: Final answer
    x = 392,084.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.