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Finding the Fourth Proportional to 475,847.25, 713,854.11 and 283,874.57

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Solution

The fourth proportional to 475,847.25, 713,854.11 and 283,874.57 is: 425,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,847.25 : 713,854.11 = 283,874.57 : x
  2. Step 2: Convert to fraction form
    475,847.25/713,854.11 = 283,874.57/x
  3. Step 3: Cross multiply
    475,847.25x = 713,854.11 × 283,874.57
  4. Step 4: Simplify right side
    475,847.25x = 202,645,028,164.14
  5. Step 5: Solve for x
    x = 202,645,028,164.14/475,847.25
  6. Step 6: Final answer
    x = 425,861.51

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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.