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Finding the Fourth Proportional to 468,180.48, 701,935.38 and 198,326.82

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Solution

The fourth proportional to 468,180.48, 701,935.38 and 198,326.82 is: 297,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,180.48 : 701,935.38 = 198,326.82 : x
  2. Step 2: Convert to fraction form
    468,180.48/701,935.38 = 198,326.82/x
  3. Step 3: Cross multiply
    468,180.48x = 701,935.38 × 198,326.82
  4. Step 4: Simplify right side
    468,180.48x = 139,212,611,760.89
  5. Step 5: Solve for x
    x = 139,212,611,760.89/468,180.48
  6. Step 6: Final answer
    x = 297,348.18

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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.