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Finding the Fourth Proportional to 257,434.60, 385,277.10 and 225,941.80

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Solution

The fourth proportional to 257,434.60, 385,277.10 and 225,941.80 is: 338,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,434.60 : 385,277.10 = 225,941.80 : x
  2. Step 2: Convert to fraction form
    257,434.60/385,277.10 = 225,941.80/x
  3. Step 3: Cross multiply
    257,434.60x = 385,277.10 × 225,941.80
  4. Step 4: Simplify right side
    257,434.60x = 87,050,201,472.78
  5. Step 5: Solve for x
    x = 87,050,201,472.78/257,434.60
  6. Step 6: Final answer
    x = 338,144.92

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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.