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Finding the Fourth Proportional to 462,438.82, 693,713.76 and 162,857.44

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Solution

The fourth proportional to 462,438.82, 693,713.76 and 162,857.44 is: 244,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,438.82 : 693,713.76 = 162,857.44 : x
  2. Step 2: Convert to fraction form
    462,438.82/693,713.76 = 162,857.44/x
  3. Step 3: Cross multiply
    462,438.82x = 693,713.76 × 162,857.44
  4. Step 4: Simplify right side
    462,438.82x = 112,976,447,046.37
  5. Step 5: Solve for x
    x = 112,976,447,046.37/462,438.82
  6. Step 6: Final answer
    x = 244,305.72

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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.