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Finding the Fourth Proportional to 312,398.22, 468,595.80 and 75,740.94

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Solution

The fourth proportional to 312,398.22, 468,595.80 and 75,740.94 is: 113,611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,398.22 : 468,595.80 = 75,740.94 : x
  2. Step 2: Convert to fraction form
    312,398.22/468,595.80 = 75,740.94/x
  3. Step 3: Cross multiply
    312,398.22x = 468,595.80 × 75,740.94
  4. Step 4: Simplify right side
    312,398.22x = 35,491,886,372.05
  5. Step 5: Solve for x
    x = 35,491,886,372.05/312,398.22
  6. Step 6: Final answer
    x = 113,611.04

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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.