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Finding the Fourth Proportional to 577,824.62, 866,855.15 and 198,696.11

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Solution

The fourth proportional to 577,824.62, 866,855.15 and 198,696.11 is: 298,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,824.62 : 866,855.15 = 198,696.11 : x
  2. Step 2: Convert to fraction form
    577,824.62/866,855.15 = 198,696.11/x
  3. Step 3: Cross multiply
    577,824.62x = 866,855.15 × 198,696.11
  4. Step 4: Simplify right side
    577,824.62x = 172,240,748,969.91
  5. Step 5: Solve for x
    x = 172,240,748,969.91/577,824.62
  6. Step 6: Final answer
    x = 298,084.82

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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.