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Finding the Fourth Proportional to 334,422.35, 501,633.53 and 156,947.30

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Solution

The fourth proportional to 334,422.35, 501,633.53 and 156,947.30 is: 235,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,422.35 : 501,633.53 = 156,947.30 : x
  2. Step 2: Convert to fraction form
    334,422.35/501,633.53 = 156,947.30/x
  3. Step 3: Cross multiply
    334,422.35x = 501,633.53 × 156,947.30
  4. Step 4: Simplify right side
    334,422.35x = 78,730,028,122.97
  5. Step 5: Solve for x
    x = 78,730,028,122.97/334,422.35
  6. Step 6: Final answer
    x = 235,420.95

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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.