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Finding the Fourth Proportional to 599,863.32, 827,274.87 and 497,726.91

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Solution

The fourth proportional to 599,863.32, 827,274.87 and 497,726.91 is: 686,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,863.32 : 827,274.87 = 497,726.91 : x
  2. Step 2: Convert to fraction form
    599,863.32/827,274.87 = 497,726.91/x
  3. Step 3: Cross multiply
    599,863.32x = 827,274.87 × 497,726.91
  4. Step 4: Simplify right side
    599,863.32x = 411,756,964,765.75
  5. Step 5: Solve for x
    x = 411,756,964,765.75/599,863.32
  6. Step 6: Final answer
    x = 686,417.97

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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.