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Finding the Fourth Proportional to 478,428.14, 717,643.20 and 449,198.84

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Solution

The fourth proportional to 478,428.14, 717,643.20 and 449,198.84 is: 673,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,428.14 : 717,643.20 = 449,198.84 : x
  2. Step 2: Convert to fraction form
    478,428.14/717,643.20 = 449,198.84/x
  3. Step 3: Cross multiply
    478,428.14x = 717,643.20 × 449,198.84
  4. Step 4: Simplify right side
    478,428.14x = 322,364,489,385.67
  5. Step 5: Solve for x
    x = 322,364,489,385.67/478,428.14
  6. Step 6: Final answer
    x = 673,799.19

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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.