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Finding the Fourth Proportional to 449,726.86, 674,516.40 and 161,478.84

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Solution

The fourth proportional to 449,726.86, 674,516.40 and 161,478.84 is: 242,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,726.86 : 674,516.40 = 161,478.84 : x
  2. Step 2: Convert to fraction form
    449,726.86/674,516.40 = 161,478.84/x
  3. Step 3: Cross multiply
    449,726.86x = 674,516.40 × 161,478.84
  4. Step 4: Simplify right side
    449,726.86x = 108,920,125,832.98
  5. Step 5: Solve for x
    x = 108,920,125,832.98/449,726.86
  6. Step 6: Final answer
    x = 242,191.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.