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Finding the Fourth Proportional to 448,046.60, 672,069.90 and 413,832.20

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Solution

The fourth proportional to 448,046.60, 672,069.90 and 413,832.20 is: 620,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,046.60 : 672,069.90 = 413,832.20 : x
  2. Step 2: Convert to fraction form
    448,046.60/672,069.90 = 413,832.20/x
  3. Step 3: Cross multiply
    448,046.60x = 672,069.90 × 413,832.20
  4. Step 4: Simplify right side
    448,046.60x = 278,124,165,270.78
  5. Step 5: Solve for x
    x = 278,124,165,270.78/448,046.60
  6. Step 6: Final answer
    x = 620,748.30

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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.