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Finding the Fourth Proportional to 478,755.36, 718,218.96 and 198,294.24

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Solution

The fourth proportional to 478,755.36, 718,218.96 and 198,294.24 is: 297,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,755.36 : 718,218.96 = 198,294.24 : x
  2. Step 2: Convert to fraction form
    478,755.36/718,218.96 = 198,294.24/x
  3. Step 3: Cross multiply
    478,755.36x = 718,218.96 × 198,294.24
  4. Step 4: Simplify right side
    478,755.36x = 142,418,682,826.79
  5. Step 5: Solve for x
    x = 142,418,682,826.79/478,755.36
  6. Step 6: Final answer
    x = 297,476.95

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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.