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Finding the Fourth Proportional to 312,356.86, 468,531.14 and 75,701.59

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Solution

The fourth proportional to 312,356.86, 468,531.14 and 75,701.59 is: 113,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,356.86 : 468,531.14 = 75,701.59 : x
  2. Step 2: Convert to fraction form
    312,356.86/468,531.14 = 75,701.59/x
  3. Step 3: Cross multiply
    312,356.86x = 468,531.14 × 75,701.59
  4. Step 4: Simplify right side
    312,356.86x = 35,468,550,712.68
  5. Step 5: Solve for x
    x = 35,468,550,712.68/312,356.86
  6. Step 6: Final answer
    x = 113,551.38

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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.