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Finding the Fourth Proportional to 465,420.70, 697,715.52 and 199,044.10

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Solution

The fourth proportional to 465,420.70, 697,715.52 and 199,044.10 is: 298,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,420.70 : 697,715.52 = 199,044.10 : x
  2. Step 2: Convert to fraction form
    465,420.70/697,715.52 = 199,044.10/x
  3. Step 3: Cross multiply
    465,420.70x = 697,715.52 × 199,044.10
  4. Step 4: Simplify right side
    465,420.70x = 138,876,157,734.43
  5. Step 5: Solve for x
    x = 138,876,157,734.43/465,420.70
  6. Step 6: Final answer
    x = 298,388.44

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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.