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Finding the Fourth Proportional to 286,969.98, 396,018.27 and 159,642.84

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Solution

The fourth proportional to 286,969.98, 396,018.27 and 159,642.84 is: 220,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,969.98 : 396,018.27 = 159,642.84 : x
  2. Step 2: Convert to fraction form
    286,969.98/396,018.27 = 159,642.84/x
  3. Step 3: Cross multiply
    286,969.98x = 396,018.27 × 159,642.84
  4. Step 4: Simplify right side
    286,969.98x = 63,221,481,314.69
  5. Step 5: Solve for x
    x = 63,221,481,314.69/286,969.98
  6. Step 6: Final answer
    x = 220,306.95

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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.