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Finding the Fourth Proportional to 311,472.63, 467,317.37 and 98,273.46

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Solution

The fourth proportional to 311,472.63, 467,317.37 and 98,273.46 is: 147,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,472.63 : 467,317.37 = 98,273.46 : x
  2. Step 2: Convert to fraction form
    311,472.63/467,317.37 = 98,273.46/x
  3. Step 3: Cross multiply
    311,472.63x = 467,317.37 × 98,273.46
  4. Step 4: Simplify right side
    311,472.63x = 45,924,894,868.00
  5. Step 5: Solve for x
    x = 45,924,894,868.00/311,472.63
  6. Step 6: Final answer
    x = 147,444.40

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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.