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Finding the Fourth Proportional to 518,363.53, 777,012.10 and 198,440.05

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Solution

The fourth proportional to 518,363.53, 777,012.10 and 198,440.05 is: 297,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,363.53 : 777,012.10 = 198,440.05 : x
  2. Step 2: Convert to fraction form
    518,363.53/777,012.10 = 198,440.05/x
  3. Step 3: Cross multiply
    518,363.53x = 777,012.10 × 198,440.05
  4. Step 4: Simplify right side
    518,363.53x = 154,190,319,974.61
  5. Step 5: Solve for x
    x = 154,190,319,974.61/518,363.53
  6. Step 6: Final answer
    x = 297,455.96

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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.