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Finding the Fourth Proportional to 497,587.11, 686,453.97 and 316,201.92

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Solution

The fourth proportional to 497,587.11, 686,453.97 and 316,201.92 is: 436,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,587.11 : 686,453.97 = 316,201.92 : x
  2. Step 2: Convert to fraction form
    497,587.11/686,453.97 = 316,201.92/x
  3. Step 3: Cross multiply
    497,587.11x = 686,453.97 × 316,201.92
  4. Step 4: Simplify right side
    497,587.11x = 217,058,063,305.62
  5. Step 5: Solve for x
    x = 217,058,063,305.62/497,587.11
  6. Step 6: Final answer
    x = 436,221.23

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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.