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Finding the Fourth Proportional to 287,694.96, 397,019.97 and 156,871.65

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Solution

The fourth proportional to 287,694.96, 397,019.97 and 156,871.65 is: 216,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,694.96 : 397,019.97 = 156,871.65 : x
  2. Step 2: Convert to fraction form
    287,694.96/397,019.97 = 156,871.65/x
  3. Step 3: Cross multiply
    287,694.96x = 397,019.97 × 156,871.65
  4. Step 4: Simplify right side
    287,694.96x = 62,281,177,776.85
  5. Step 5: Solve for x
    x = 62,281,177,776.85/287,694.96
  6. Step 6: Final answer
    x = 216,483.38

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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.