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Finding the Fourth Proportional to 652,131.40, 978,367.20 and 252,785.20

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Solution

The fourth proportional to 652,131.40, 978,367.20 and 252,785.20 is: 379,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,131.40 : 978,367.20 = 252,785.20 : x
  2. Step 2: Convert to fraction form
    652,131.40/978,367.20 = 252,785.20/x
  3. Step 3: Cross multiply
    652,131.40x = 978,367.20 × 252,785.20
  4. Step 4: Simplify right side
    652,131.40x = 247,316,748,325.44
  5. Step 5: Solve for x
    x = 247,316,748,325.44/652,131.40
  6. Step 6: Final answer
    x = 379,243.74

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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.