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Finding the Fourth Proportional to 469,934.82, 648,846.90 and 288,889.38

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Solution

The fourth proportional to 469,934.82, 648,846.90 and 288,889.38 is: 398,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,934.82 : 648,846.90 = 288,889.38 : x
  2. Step 2: Convert to fraction form
    469,934.82/648,846.90 = 288,889.38/x
  3. Step 3: Cross multiply
    469,934.82x = 648,846.90 × 288,889.38
  4. Step 4: Simplify right side
    469,934.82x = 187,444,978,655.92
  5. Step 5: Solve for x
    x = 187,444,978,655.92/469,934.82
  6. Step 6: Final answer
    x = 398,874.42

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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.