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Finding the Fourth Proportional to 652,663.20, 978,217.20 and 273,583.20

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Solution

The fourth proportional to 652,663.20, 978,217.20 and 273,583.20 is: 410,048.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,663.20 : 978,217.20 = 273,583.20 : x
  2. Step 2: Convert to fraction form
    652,663.20/978,217.20 = 273,583.20/x
  3. Step 3: Cross multiply
    652,663.20x = 978,217.20 × 273,583.20
  4. Step 4: Simplify right side
    652,663.20x = 267,623,791,871.04
  5. Step 5: Solve for x
    x = 267,623,791,871.04/652,663.20
  6. Step 6: Final answer
    x = 410,048.85

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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.