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Finding the Fourth Proportional to 311,098.80, 466,129.80 and 292,436.40

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Solution

The fourth proportional to 311,098.80, 466,129.80 and 292,436.40 is: 438,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,098.80 : 466,129.80 = 292,436.40 : x
  2. Step 2: Convert to fraction form
    311,098.80/466,129.80 = 292,436.40/x
  3. Step 3: Cross multiply
    311,098.80x = 466,129.80 × 292,436.40
  4. Step 4: Simplify right side
    311,098.80x = 136,313,320,644.72
  5. Step 5: Solve for x
    x = 136,313,320,644.72/311,098.80
  6. Step 6: Final answer
    x = 438,167.30

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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.