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Finding the Fourth Proportional to 577,826.87, 866,858.54 and 198,698.36

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Solution

The fourth proportional to 577,826.87, 866,858.54 and 198,698.36 is: 298,088.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,826.87 : 866,858.54 = 198,698.36 : x
  2. Step 2: Convert to fraction form
    577,826.87/866,858.54 = 198,698.36/x
  3. Step 3: Cross multiply
    577,826.87x = 866,858.54 × 198,698.36
  4. Step 4: Simplify right side
    577,826.87x = 172,243,364,922.21
  5. Step 5: Solve for x
    x = 172,243,364,922.21/577,826.87
  6. Step 6: Final answer
    x = 298,088.19

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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.