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Finding the Fourth Proportional to 311,863.80, 467,795.70 and 292,180.80

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Solution

The fourth proportional to 311,863.80, 467,795.70 and 292,180.80 is: 438,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,863.80 : 467,795.70 = 292,180.80 : x
  2. Step 2: Convert to fraction form
    311,863.80/467,795.70 = 292,180.80/x
  3. Step 3: Cross multiply
    311,863.80x = 467,795.70 × 292,180.80
  4. Step 4: Simplify right side
    311,863.80x = 136,680,921,862.56
  5. Step 5: Solve for x
    x = 136,680,921,862.56/311,863.80
  6. Step 6: Final answer
    x = 438,271.20

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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.