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Finding the Fourth Proportional to 285,036.17, 427,701.87 and 206,796.24

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Solution

The fourth proportional to 285,036.17, 427,701.87 and 206,796.24 is: 310,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,036.17 : 427,701.87 = 206,796.24 : x
  2. Step 2: Convert to fraction form
    285,036.17/427,701.87 = 206,796.24/x
  3. Step 3: Cross multiply
    285,036.17x = 427,701.87 × 206,796.24
  4. Step 4: Simplify right side
    285,036.17x = 88,447,138,556.97
  5. Step 5: Solve for x
    x = 88,447,138,556.97/285,036.17
  6. Step 6: Final answer
    x = 310,301.46

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1.5x scale

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.