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Finding the Fourth Proportional to 382,070.57, 527,259.78 and 238,914.41

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Solution

The fourth proportional to 382,070.57, 527,259.78 and 238,914.41 is: 329,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,070.57 : 527,259.78 = 238,914.41 : x
  2. Step 2: Convert to fraction form
    382,070.57/527,259.78 = 238,914.41/x
  3. Step 3: Cross multiply
    382,070.57x = 527,259.78 × 238,914.41
  4. Step 4: Simplify right side
    382,070.57x = 125,969,956,619.13
  5. Step 5: Solve for x
    x = 125,969,956,619.13/382,070.57
  6. Step 6: Final answer
    x = 329,703.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.