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Finding the Fourth Proportional to 257,532.60, 385,424.10 and 226,039.80

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Solution

The fourth proportional to 257,532.60, 385,424.10 and 226,039.80 is: 338,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,532.60 : 385,424.10 = 226,039.80 : x
  2. Step 2: Convert to fraction form
    257,532.60/385,424.10 = 226,039.80/x
  3. Step 3: Cross multiply
    257,532.60x = 385,424.10 × 226,039.80
  4. Step 4: Simplify right side
    257,532.60x = 87,121,186,479.18
  5. Step 5: Solve for x
    x = 87,121,186,479.18/257,532.60
  6. Step 6: Final answer
    x = 338,291.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.