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Finding the Fourth Proportional to 296,645.80, 444,964.78 and 72,008

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Solution

The fourth proportional to 296,645.80, 444,964.78 and 72,008 is: 108,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,645.80 : 444,964.78 = 72,008 : x
  2. Step 2: Convert to fraction form
    296,645.80/444,964.78 = 72,008/x
  3. Step 3: Cross multiply
    296,645.80x = 444,964.78 × 72,008
  4. Step 4: Simplify right side
    296,645.80x = 32,041,023,878.24
  5. Step 5: Solve for x
    x = 32,041,023,878.24/296,645.80
  6. Step 6: Final answer
    x = 108,011.05

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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.