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Finding the Fourth Proportional to 311,211.32, 466,649.91 and 97,939.33

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Solution

The fourth proportional to 311,211.32, 466,649.91 and 97,939.33 is: 146,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,211.32 : 466,649.91 = 97,939.33 : x
  2. Step 2: Convert to fraction form
    311,211.32/466,649.91 = 97,939.33/x
  3. Step 3: Cross multiply
    311,211.32x = 466,649.91 × 97,939.33
  4. Step 4: Simplify right side
    311,211.32x = 45,703,378,363.34
  5. Step 5: Solve for x
    x = 45,703,378,363.34/311,211.32
  6. Step 6: Final answer
    x = 146,856.42

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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.