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Finding the Fourth Proportional to 497,114.80, 745,672.20 and 443,201.20

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Solution

The fourth proportional to 497,114.80, 745,672.20 and 443,201.20 is: 664,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,114.80 : 745,672.20 = 443,201.20 : x
  2. Step 2: Convert to fraction form
    497,114.80/745,672.20 = 443,201.20/x
  3. Step 3: Cross multiply
    497,114.80x = 745,672.20 × 443,201.20
  4. Step 4: Simplify right side
    497,114.80x = 330,482,813,846.64
  5. Step 5: Solve for x
    x = 330,482,813,846.64/497,114.80
  6. Step 6: Final answer
    x = 664,801.80

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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.