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Finding the Fourth Proportional to 382,204.80, 573,134.40 and 171,734.40

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Solution

The fourth proportional to 382,204.80, 573,134.40 and 171,734.40 is: 257,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,204.80 : 573,134.40 = 171,734.40 : x
  2. Step 2: Convert to fraction form
    382,204.80/573,134.40 = 171,734.40/x
  3. Step 3: Cross multiply
    382,204.80x = 573,134.40 × 171,734.40
  4. Step 4: Simplify right side
    382,204.80x = 98,426,892,303.36
  5. Step 5: Solve for x
    x = 98,426,892,303.36/382,204.80
  6. Step 6: Final answer
    x = 257,523.96

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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.