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Finding the Fourth Proportional to 496,034.92, 684,524.80 and 269,680.44

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Solution

The fourth proportional to 496,034.92, 684,524.80 and 269,680.44 is: 372,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,034.92 : 684,524.80 = 269,680.44 : x
  2. Step 2: Convert to fraction form
    496,034.92/684,524.80 = 269,680.44/x
  3. Step 3: Cross multiply
    496,034.92x = 684,524.80 × 269,680.44
  4. Step 4: Simplify right side
    496,034.92x = 184,602,949,254.91
  5. Step 5: Solve for x
    x = 184,602,949,254.91/496,034.92
  6. Step 6: Final answer
    x = 372,157.16

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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.