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Finding the Fourth Proportional to 312,251.10, 468,376.65 and 200,276.70

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Solution

The fourth proportional to 312,251.10, 468,376.65 and 200,276.70 is: 300,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,251.10 : 468,376.65 = 200,276.70 : x
  2. Step 2: Convert to fraction form
    312,251.10/468,376.65 = 200,276.70/x
  3. Step 3: Cross multiply
    312,251.10x = 468,376.65 × 200,276.70
  4. Step 4: Simplify right side
    312,251.10x = 93,804,929,819.06
  5. Step 5: Solve for x
    x = 93,804,929,819.06/312,251.10
  6. Step 6: Final answer
    x = 300,415.05

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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.