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Finding the Fourth Proportional to 577,703.57, 866,760.50 and 257,826.34

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Solution

The fourth proportional to 577,703.57, 866,760.50 and 257,826.34 is: 386,831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,703.57 : 866,760.50 = 257,826.34 : x
  2. Step 2: Convert to fraction form
    577,703.57/866,760.50 = 257,826.34/x
  3. Step 3: Cross multiply
    577,703.57x = 866,760.50 × 257,826.34
  4. Step 4: Simplify right side
    577,703.57x = 223,473,687,649.31
  5. Step 5: Solve for x
    x = 223,473,687,649.31/577,703.57
  6. Step 6: Final answer
    x = 386,831.07

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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.