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Finding the Fourth Proportional to 1,584,684, 2,377,375.92 and 587,412

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Solution

The fourth proportional to 1,584,684, 2,377,375.92 and 587,412 is: 881,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,684 : 2,377,375.92 = 587,412 : x
  2. Step 2: Convert to fraction form
    1,584,684/2,377,375.92 = 587,412/x
  3. Step 3: Cross multiply
    1,584,684x = 2,377,375.92 × 587,412
  4. Step 4: Simplify right side
    1,584,684x = 1,396,499,143,919.04
  5. Step 5: Solve for x
    x = 1,396,499,143,919.04/1,584,684
  6. Step 6: Final answer
    x = 881,247.71

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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.