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Finding the Fourth Proportional to 382,430.31, 573,563.45 and 157,732.47

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Solution

The fourth proportional to 382,430.31, 573,563.45 and 157,732.47 is: 236,564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,430.31 : 573,563.45 = 157,732.47 : x
  2. Step 2: Convert to fraction form
    382,430.31/573,563.45 = 157,732.47/x
  3. Step 3: Cross multiply
    382,430.31x = 573,563.45 × 157,732.47
  4. Step 4: Simplify right side
    382,430.31x = 90,469,578,881.56
  5. Step 5: Solve for x
    x = 90,469,578,881.56/382,430.31
  6. Step 6: Final answer
    x = 236,564.88

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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.