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Finding the Fourth Proportional to 469,009.95, 647,234.37 and 254,149.86

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Solution

The fourth proportional to 469,009.95, 647,234.37 and 254,149.86 is: 350,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,009.95 : 647,234.37 = 254,149.86 : x
  2. Step 2: Convert to fraction form
    469,009.95/647,234.37 = 254,149.86/x
  3. Step 3: Cross multiply
    469,009.95x = 647,234.37 × 254,149.86
  4. Step 4: Simplify right side
    469,009.95x = 164,494,524,522.69
  5. Step 5: Solve for x
    x = 164,494,524,522.69/469,009.95
  6. Step 6: Final answer
    x = 350,727.15

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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.