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Finding the Fourth Proportional to 257,436.60, 385,280.10 and 225,943.80

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Solution

The fourth proportional to 257,436.60, 385,280.10 and 225,943.80 is: 338,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,436.60 : 385,280.10 = 225,943.80 : x
  2. Step 2: Convert to fraction form
    257,436.60/385,280.10 = 225,943.80/x
  3. Step 3: Cross multiply
    257,436.60x = 385,280.10 × 225,943.80
  4. Step 4: Simplify right side
    257,436.60x = 87,051,649,858.38
  5. Step 5: Solve for x
    x = 87,051,649,858.38/257,436.60
  6. Step 6: Final answer
    x = 338,147.92

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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.