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Finding the Fourth Proportional to 257,816.40, 385,631.10 and 231,353.70

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Solution

The fourth proportional to 257,816.40, 385,631.10 and 231,353.70 is: 346,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,816.40 : 385,631.10 = 231,353.70 : x
  2. Step 2: Convert to fraction form
    257,816.40/385,631.10 = 231,353.70/x
  3. Step 3: Cross multiply
    257,816.40x = 385,631.10 × 231,353.70
  4. Step 4: Simplify right side
    257,816.40x = 89,217,181,820.07
  5. Step 5: Solve for x
    x = 89,217,181,820.07/257,816.40
  6. Step 6: Final answer
    x = 346,049.29

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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.