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Finding the Fourth Proportional to 296,740.86, 409,644.30 and 169,391.85

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Solution

The fourth proportional to 296,740.86, 409,644.30 and 169,391.85 is: 233,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,740.86 : 409,644.30 = 169,391.85 : x
  2. Step 2: Convert to fraction form
    296,740.86/409,644.30 = 169,391.85/x
  3. Step 3: Cross multiply
    296,740.86x = 409,644.30 × 169,391.85
  4. Step 4: Simplify right side
    296,740.86x = 69,390,405,818.96
  5. Step 5: Solve for x
    x = 69,390,405,818.96/296,740.86
  6. Step 6: Final answer
    x = 233,841.76

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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.