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Finding the Fourth Proportional to 450,578.25, 676,100.37 and 198,036.06

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Solution

The fourth proportional to 450,578.25, 676,100.37 and 198,036.06 is: 297,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,578.25 : 676,100.37 = 198,036.06 : x
  2. Step 2: Convert to fraction form
    450,578.25/676,100.37 = 198,036.06/x
  3. Step 3: Cross multiply
    450,578.25x = 676,100.37 × 198,036.06
  4. Step 4: Simplify right side
    450,578.25x = 133,892,253,439.34
  5. Step 5: Solve for x
    x = 133,892,253,439.34/450,578.25
  6. Step 6: Final answer
    x = 297,156.49

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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.