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Finding the Fourth Proportional to 408,706.88, 564,093.52 and 270,642.38

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Solution

The fourth proportional to 408,706.88, 564,093.52 and 270,642.38 is: 373,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,706.88 : 564,093.52 = 270,642.38 : x
  2. Step 2: Convert to fraction form
    408,706.88/564,093.52 = 270,642.38/x
  3. Step 3: Cross multiply
    408,706.88x = 564,093.52 × 270,642.38
  4. Step 4: Simplify right side
    408,706.88x = 152,667,612,795.38
  5. Step 5: Solve for x
    x = 152,667,612,795.38/408,706.88
  6. Step 6: Final answer
    x = 373,538.15

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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.