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Finding the Fourth Proportional to 382,412.74, 573,614.24 and 171,901.84

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Solution

The fourth proportional to 382,412.74, 573,614.24 and 171,901.84 is: 257,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,412.74 : 573,614.24 = 171,901.84 : x
  2. Step 2: Convert to fraction form
    382,412.74/573,614.24 = 171,901.84/x
  3. Step 3: Cross multiply
    382,412.74x = 573,614.24 × 171,901.84
  4. Step 4: Simplify right side
    382,412.74x = 98,605,343,306.20
  5. Step 5: Solve for x
    x = 98,605,343,306.20/382,412.74
  6. Step 6: Final answer
    x = 257,850.57

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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.