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Finding the Fourth Proportional to 382,207.80, 573,138.90 and 171,737.40

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Solution

The fourth proportional to 382,207.80, 573,138.90 and 171,737.40 is: 257,528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,207.80 : 573,138.90 = 171,737.40 : x
  2. Step 2: Convert to fraction form
    382,207.80/573,138.90 = 171,737.40/x
  3. Step 3: Cross multiply
    382,207.80x = 573,138.90 × 171,737.40
  4. Step 4: Simplify right side
    382,207.80x = 98,429,384,524.86
  5. Step 5: Solve for x
    x = 98,429,384,524.86/382,207.80
  6. Step 6: Final answer
    x = 257,528.46

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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.