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Finding the Fourth Proportional to 320,432.20, 480,129.90 and 201,891.40

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Solution

The fourth proportional to 320,432.20, 480,129.90 and 201,891.40 is: 302,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,432.20 : 480,129.90 = 201,891.40 : x
  2. Step 2: Convert to fraction form
    320,432.20/480,129.90 = 201,891.40/x
  3. Step 3: Cross multiply
    320,432.20x = 480,129.90 × 201,891.40
  4. Step 4: Simplify right side
    320,432.20x = 96,934,097,692.86
  5. Step 5: Solve for x
    x = 96,934,097,692.86/320,432.20
  6. Step 6: Final answer
    x = 302,510.48

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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.