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Finding the Fourth Proportional to 577,826.62, 866,858.15 and 198,698.11

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Solution

The fourth proportional to 577,826.62, 866,858.15 and 198,698.11 is: 298,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,826.62 : 866,858.15 = 198,698.11 : x
  2. Step 2: Convert to fraction form
    577,826.62/866,858.15 = 198,698.11/x
  3. Step 3: Cross multiply
    577,826.62x = 866,858.15 × 198,698.11
  4. Step 4: Simplify right side
    577,826.62x = 172,243,076,043.10
  5. Step 5: Solve for x
    x = 172,243,076,043.10/577,826.62
  6. Step 6: Final answer
    x = 298,087.82

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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.