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Finding the Fourth Proportional to 467,947.80, 701,921.70 and 418,084.20

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Solution

The fourth proportional to 467,947.80, 701,921.70 and 418,084.20 is: 627,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,947.80 : 701,921.70 = 418,084.20 : x
  2. Step 2: Convert to fraction form
    467,947.80/701,921.70 = 418,084.20/x
  3. Step 3: Cross multiply
    467,947.80x = 701,921.70 × 418,084.20
  4. Step 4: Simplify right side
    467,947.80x = 293,462,372,407.14
  5. Step 5: Solve for x
    x = 293,462,372,407.14/467,947.80
  6. Step 6: Final answer
    x = 627,126.30

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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.