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Finding the Fourth Proportional to 409,525.38, 565,433.19 and 287,277.66

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Solution

The fourth proportional to 409,525.38, 565,433.19 and 287,277.66 is: 396,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,525.38 : 565,433.19 = 287,277.66 : x
  2. Step 2: Convert to fraction form
    409,525.38/565,433.19 = 287,277.66/x
  3. Step 3: Cross multiply
    409,525.38x = 565,433.19 × 287,277.66
  4. Step 4: Simplify right side
    409,525.38x = 162,436,323,709.54
  5. Step 5: Solve for x
    x = 162,436,323,709.54/409,525.38
  6. Step 6: Final answer
    x = 396,645.32

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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.