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Finding the Fourth Proportional to 577,826.12, 866,857.40 and 198,697.62

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Solution

The fourth proportional to 577,826.12, 866,857.40 and 198,697.62 is: 298,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,826.12 : 866,857.40 = 198,697.62 : x
  2. Step 2: Convert to fraction form
    577,826.12/866,857.40 = 198,697.62/x
  3. Step 3: Cross multiply
    577,826.12x = 866,857.40 × 198,697.62
  4. Step 4: Simplify right side
    577,826.12x = 172,242,501,265.90
  5. Step 5: Solve for x
    x = 172,242,501,265.90/577,826.12
  6. Step 6: Final answer
    x = 298,087.08

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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.