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Finding the Fourth Proportional to 363,464.20, 545,196.30 and 287,648.20

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Solution

The fourth proportional to 363,464.20, 545,196.30 and 287,648.20 is: 431,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,464.20 : 545,196.30 = 287,648.20 : x
  2. Step 2: Convert to fraction form
    363,464.20/545,196.30 = 287,648.20/x
  3. Step 3: Cross multiply
    363,464.20x = 545,196.30 × 287,648.20
  4. Step 4: Simplify right side
    363,464.20x = 156,824,734,341.66
  5. Step 5: Solve for x
    x = 156,824,734,341.66/363,464.20
  6. Step 6: Final answer
    x = 431,472.30

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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.