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Finding the Fourth Proportional to 312,427.26, 468,543.96 and 112,721.76

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Solution

The fourth proportional to 312,427.26, 468,543.96 and 112,721.76 is: 169,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,427.26 : 468,543.96 = 112,721.76 : x
  2. Step 2: Convert to fraction form
    312,427.26/468,543.96 = 112,721.76/x
  3. Step 3: Cross multiply
    312,427.26x = 468,543.96 × 112,721.76
  4. Step 4: Simplify right side
    312,427.26x = 52,815,099,808.57
  5. Step 5: Solve for x
    x = 52,815,099,808.57/312,427.26
  6. Step 6: Final answer
    x = 169,047.67

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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.