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Finding the Fourth Proportional to 475,350, 713,026.61 and 120,363.85

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Solution

The fourth proportional to 475,350, 713,026.61 and 120,363.85 is: 180,546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,350 : 713,026.61 = 120,363.85 : x
  2. Step 2: Convert to fraction form
    475,350/713,026.61 = 120,363.85/x
  3. Step 3: Cross multiply
    475,350x = 713,026.61 × 120,363.85
  4. Step 4: Simplify right side
    475,350x = 85,822,627,932.05
  5. Step 5: Solve for x
    x = 85,822,627,932.05/475,350
  6. Step 6: Final answer
    x = 180,546.18

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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.