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Finding the Fourth Proportional to 312,252.92, 468,380.60 and 75,595.24

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Solution

The fourth proportional to 312,252.92, 468,380.60 and 75,595.24 is: 113,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,252.92 : 468,380.60 = 75,595.24 : x
  2. Step 2: Convert to fraction form
    312,252.92/468,380.60 = 75,595.24/x
  3. Step 3: Cross multiply
    312,252.92x = 468,380.60 × 75,595.24
  4. Step 4: Simplify right side
    312,252.92x = 35,407,343,868.34
  5. Step 5: Solve for x
    x = 35,407,343,868.34/312,252.92
  6. Step 6: Final answer
    x = 113,393.16

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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.