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Finding the Fourth Proportional to 652,827.20, 978,463.20 and 273,747.20

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Solution

The fourth proportional to 652,827.20, 978,463.20 and 273,747.20 is: 410,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,827.20 : 978,463.20 = 273,747.20 : x
  2. Step 2: Convert to fraction form
    652,827.20/978,463.20 = 273,747.20/x
  3. Step 3: Cross multiply
    652,827.20x = 978,463.20 × 273,747.20
  4. Step 4: Simplify right side
    652,827.20x = 267,851,561,303.04
  5. Step 5: Solve for x
    x = 267,851,561,303.04/652,827.20
  6. Step 6: Final answer
    x = 410,294.73

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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.