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Finding the Fourth Proportional to 408,705.88, 564,092.14 and 270,641.38

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Solution

The fourth proportional to 408,705.88, 564,092.14 and 270,641.38 is: 373,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,705.88 : 564,092.14 = 270,641.38 : x
  2. Step 2: Convert to fraction form
    408,705.88/564,092.14 = 270,641.38/x
  3. Step 3: Cross multiply
    408,705.88x = 564,092.14 × 270,641.38
  4. Step 4: Simplify right side
    408,705.88x = 152,666,675,216.75
  5. Step 5: Solve for x
    x = 152,666,675,216.75/408,705.88
  6. Step 6: Final answer
    x = 373,536.77

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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.