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Finding the Fourth Proportional to 382,312.97, 573,538.40 and 157,548.29

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Solution

The fourth proportional to 382,312.97, 573,538.40 and 157,548.29 is: 236,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,312.97 : 573,538.40 = 157,548.29 : x
  2. Step 2: Convert to fraction form
    382,312.97/573,538.40 = 157,548.29/x
  3. Step 3: Cross multiply
    382,312.97x = 573,538.40 × 157,548.29
  4. Step 4: Simplify right side
    382,312.97x = 90,359,995,603.18
  5. Step 5: Solve for x
    x = 90,359,995,603.18/382,312.97
  6. Step 6: Final answer
    x = 236,350.85

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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.