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Finding the Fourth Proportional to 433,340.52, 650,164.74 and 193,432.68

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Solution

The fourth proportional to 433,340.52, 650,164.74 and 193,432.68 is: 290,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,340.52 : 650,164.74 = 193,432.68 : x
  2. Step 2: Convert to fraction form
    433,340.52/650,164.74 = 193,432.68/x
  3. Step 3: Cross multiply
    433,340.52x = 650,164.74 × 193,432.68
  4. Step 4: Simplify right side
    433,340.52x = 125,763,108,099.70
  5. Step 5: Solve for x
    x = 125,763,108,099.70/433,340.52
  6. Step 6: Final answer
    x = 290,217.74

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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.