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Finding the Fourth Proportional to 282,242.78, 389,627.56 and 189,266.78

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Solution

The fourth proportional to 282,242.78, 389,627.56 and 189,266.78 is: 261,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,242.78 : 389,627.56 = 189,266.78 : x
  2. Step 2: Convert to fraction form
    282,242.78/389,627.56 = 189,266.78/x
  3. Step 3: Cross multiply
    282,242.78x = 389,627.56 × 189,266.78
  4. Step 4: Simplify right side
    282,242.78x = 73,743,553,680.46
  5. Step 5: Solve for x
    x = 73,743,553,680.46/282,242.78
  6. Step 6: Final answer
    x = 261,277.02

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1.5x scale

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.