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Finding the Fourth Proportional to 296,935.86, 409,675.15 and 167,861.86

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Solution

The fourth proportional to 296,935.86, 409,675.15 and 167,861.86 is: 231,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,935.86 : 409,675.15 = 167,861.86 : x
  2. Step 2: Convert to fraction form
    296,935.86/409,675.15 = 167,861.86/x
  3. Step 3: Cross multiply
    296,935.86x = 409,675.15 × 167,861.86
  4. Step 4: Simplify right side
    296,935.86x = 68,768,832,674.78
  5. Step 5: Solve for x
    x = 68,768,832,674.78/296,935.86
  6. Step 6: Final answer
    x = 231,594.91

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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.