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Finding the Fourth Proportional to 463,726.26, 695,583.90 and 261,337.64

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Solution

The fourth proportional to 463,726.26, 695,583.90 and 261,337.64 is: 392,003.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,726.26 : 695,583.90 = 261,337.64 : x
  2. Step 2: Convert to fraction form
    463,726.26/695,583.90 = 261,337.64/x
  3. Step 3: Cross multiply
    463,726.26x = 695,583.90 × 261,337.64
  4. Step 4: Simplify right side
    463,726.26x = 181,782,251,370.08
  5. Step 5: Solve for x
    x = 181,782,251,370.08/463,726.26
  6. Step 6: Final answer
    x = 392,003.36

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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.