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Finding the Fourth Proportional to 652,829.38, 978,929.10 and 273,648.30

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Solution

The fourth proportional to 652,829.38, 978,929.10 and 273,648.30 is: 410,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,829.38 : 978,929.10 = 273,648.30 : x
  2. Step 2: Convert to fraction form
    652,829.38/978,929.10 = 273,648.30/x
  3. Step 3: Cross multiply
    652,829.38x = 978,929.10 × 273,648.30
  4. Step 4: Simplify right side
    652,829.38x = 267,882,284,035.53
  5. Step 5: Solve for x
    x = 267,882,284,035.53/652,829.38
  6. Step 6: Final answer
    x = 410,340.42

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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.