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Finding the Fourth Proportional to 652,824.38, 978,921.60 and 273,643.30

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Solution

The fourth proportional to 652,824.38, 978,921.60 and 273,643.30 is: 410,332.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,824.38 : 978,921.60 = 273,643.30 : x
  2. Step 2: Convert to fraction form
    652,824.38/978,921.60 = 273,643.30/x
  3. Step 3: Cross multiply
    652,824.38x = 978,921.60 × 273,643.30
  4. Step 4: Simplify right side
    652,824.38x = 267,875,337,065.28
  5. Step 5: Solve for x
    x = 267,875,337,065.28/652,824.38
  6. Step 6: Final answer
    x = 410,332.92

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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.