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Finding the Fourth Proportional to 287,862.76, 397,321.84 and 196,133.77

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Solution

The fourth proportional to 287,862.76, 397,321.84 and 196,133.77 is: 270,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,862.76 : 397,321.84 = 196,133.77 : x
  2. Step 2: Convert to fraction form
    287,862.76/397,321.84 = 196,133.77/x
  3. Step 3: Cross multiply
    287,862.76x = 397,321.84 × 196,133.77
  4. Step 4: Simplify right side
    287,862.76x = 77,928,230,382.54
  5. Step 5: Solve for x
    x = 77,928,230,382.54/287,862.76
  6. Step 6: Final answer
    x = 270,713.14

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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.