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Finding the Fourth Proportional to 296,045.75, 408,552.86 and 161,909.75

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Solution

The fourth proportional to 296,045.75, 408,552.86 and 161,909.75 is: 223,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,045.75 : 408,552.86 = 161,909.75 : x
  2. Step 2: Convert to fraction form
    296,045.75/408,552.86 = 161,909.75/x
  3. Step 3: Cross multiply
    296,045.75x = 408,552.86 × 161,909.75
  4. Step 4: Simplify right side
    296,045.75x = 66,148,691,424.39
  5. Step 5: Solve for x
    x = 66,148,691,424.39/296,045.75
  6. Step 6: Final answer
    x = 223,440.77

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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.