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Finding the Fourth Proportional to 497,337.30, 686,325.24 and 270,982.80

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Solution

The fourth proportional to 497,337.30, 686,325.24 and 270,982.80 is: 373,956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,337.30 : 686,325.24 = 270,982.80 : x
  2. Step 2: Convert to fraction form
    497,337.30/686,325.24 = 270,982.80/x
  3. Step 3: Cross multiply
    497,337.30x = 686,325.24 × 270,982.80
  4. Step 4: Simplify right side
    497,337.30x = 185,982,335,245.87
  5. Step 5: Solve for x
    x = 185,982,335,245.87/497,337.30
  6. Step 6: Final answer
    x = 373,956.14

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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.