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Finding the Fourth Proportional to 478,422.09, 717,634.16 and 449,192.84

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Solution

The fourth proportional to 478,422.09, 717,634.16 and 449,192.84 is: 673,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,422.09 : 717,634.16 = 449,192.84 : x
  2. Step 2: Convert to fraction form
    478,422.09/717,634.16 = 449,192.84/x
  3. Step 3: Cross multiply
    478,422.09x = 717,634.16 × 449,192.84
  4. Step 4: Simplify right side
    478,422.09x = 322,356,120,577.28
  5. Step 5: Solve for x
    x = 322,356,120,577.28/478,422.09
  6. Step 6: Final answer
    x = 673,790.21

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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.