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Finding the Fourth Proportional to 312,034.20, 468,051.30 and 261,295.80

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Solution

The fourth proportional to 312,034.20, 468,051.30 and 261,295.80 is: 391,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,034.20 : 468,051.30 = 261,295.80 : x
  2. Step 2: Convert to fraction form
    312,034.20/468,051.30 = 261,295.80/x
  3. Step 3: Cross multiply
    312,034.20x = 468,051.30 × 261,295.80
  4. Step 4: Simplify right side
    312,034.20x = 122,299,838,874.54
  5. Step 5: Solve for x
    x = 122,299,838,874.54/312,034.20
  6. Step 6: Final answer
    x = 391,943.70

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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.