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Finding the Fourth Proportional to 577,660.14, 866,695.41 and 257,782.91

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Solution

The fourth proportional to 577,660.14, 866,695.41 and 257,782.91 is: 386,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,660.14 : 866,695.41 = 257,782.91 : x
  2. Step 2: Convert to fraction form
    577,660.14/866,695.41 = 257,782.91/x
  3. Step 3: Cross multiply
    577,660.14x = 866,695.41 × 257,782.91
  4. Step 4: Simplify right side
    577,660.14x = 223,419,260,539.97
  5. Step 5: Solve for x
    x = 223,419,260,539.97/577,660.14
  6. Step 6: Final answer
    x = 386,765.93

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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.