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Finding the Fourth Proportional to 257,254.25, 385,799.56 and 240,462.41

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Solution

The fourth proportional to 257,254.25, 385,799.56 and 240,462.41 is: 360,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,254.25 : 385,799.56 = 240,462.41 : x
  2. Step 2: Convert to fraction form
    257,254.25/385,799.56 = 240,462.41/x
  3. Step 3: Cross multiply
    257,254.25x = 385,799.56 × 240,462.41
  4. Step 4: Simplify right side
    257,254.25x = 92,770,289,444.39
  5. Step 5: Solve for x
    x = 92,770,289,444.39/257,254.25
  6. Step 6: Final answer
    x = 360,617.14

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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.