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Finding the Fourth Proportional to 384,906.82, 577,521.70 and 171,527.73

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Solution

The fourth proportional to 384,906.82, 577,521.70 and 171,527.73 is: 257,363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,906.82 : 577,521.70 = 171,527.73 : x
  2. Step 2: Convert to fraction form
    384,906.82/577,521.70 = 171,527.73/x
  3. Step 3: Cross multiply
    384,906.82x = 577,521.70 × 171,527.73
  4. Step 4: Simplify right side
    384,906.82x = 99,060,986,226.74
  5. Step 5: Solve for x
    x = 99,060,986,226.74/384,906.82
  6. Step 6: Final answer
    x = 257,363.55

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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.