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Finding the Fourth Proportional to 281,179.31, 387,782.12 and 199,345.88

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Solution

The fourth proportional to 281,179.31, 387,782.12 and 199,345.88 is: 274,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,179.31 : 387,782.12 = 199,345.88 : x
  2. Step 2: Convert to fraction form
    281,179.31/387,782.12 = 199,345.88/x
  3. Step 3: Cross multiply
    281,179.31x = 387,782.12 × 199,345.88
  4. Step 4: Simplify right side
    281,179.31x = 77,302,769,427.49
  5. Step 5: Solve for x
    x = 77,302,769,427.49/281,179.31
  6. Step 6: Final answer
    x = 274,923.40

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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.