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Finding the Fourth Proportional to 469,402.20, 704,144.64 and 132,445.80

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Solution

The fourth proportional to 469,402.20, 704,144.64 and 132,445.80 is: 198,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,402.20 : 704,144.64 = 132,445.80 : x
  2. Step 2: Convert to fraction form
    469,402.20/704,144.64 = 132,445.80/x
  3. Step 3: Cross multiply
    469,402.20x = 704,144.64 × 132,445.80
  4. Step 4: Simplify right side
    469,402.20x = 93,261,000,160.51
  5. Step 5: Solve for x
    x = 93,261,000,160.51/469,402.20
  6. Step 6: Final answer
    x = 198,680.36

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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.