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Finding the Fourth Proportional to 382,857.74, 528,201.96 and 382,267.25

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Solution

The fourth proportional to 382,857.74, 528,201.96 and 382,267.25 is: 527,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,857.74 : 528,201.96 = 382,267.25 : x
  2. Step 2: Convert to fraction form
    382,857.74/528,201.96 = 382,267.25/x
  3. Step 3: Cross multiply
    382,857.74x = 528,201.96 × 382,267.25
  4. Step 4: Simplify right side
    382,857.74x = 201,914,310,750.31
  5. Step 5: Solve for x
    x = 201,914,310,750.31/382,857.74
  6. Step 6: Final answer
    x = 527,387.30

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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.