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Finding the Fourth Proportional to 311,592.79, 467,452.06 and 98,394.01

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Solution

The fourth proportional to 311,592.79, 467,452.06 and 98,394.01 is: 147,610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,592.79 : 467,452.06 = 98,394.01 : x
  2. Step 2: Convert to fraction form
    311,592.79/467,452.06 = 98,394.01/x
  3. Step 3: Cross multiply
    311,592.79x = 467,452.06 × 98,394.01
  4. Step 4: Simplify right side
    311,592.79x = 45,994,481,805.01
  5. Step 5: Solve for x
    x = 45,994,481,805.01/311,592.79
  6. Step 6: Final answer
    x = 147,610.87

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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.