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Finding the Fourth Proportional to 312,378.04, 468,562.92 and 75,722.86

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Solution

The fourth proportional to 312,378.04, 468,562.92 and 75,722.86 is: 113,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,378.04 : 468,562.92 = 75,722.86 : x
  2. Step 2: Convert to fraction form
    312,378.04/468,562.92 = 75,722.86/x
  3. Step 3: Cross multiply
    312,378.04x = 468,562.92 × 75,722.86
  4. Step 4: Simplify right side
    312,378.04x = 35,480,924,392.35
  5. Step 5: Solve for x
    x = 35,480,924,392.35/312,378.04
  6. Step 6: Final answer
    x = 113,583.29

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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.