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Finding the Fourth Proportional to 418,086.47, 576,641.43 and 289,239.36

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Solution

The fourth proportional to 418,086.47, 576,641.43 and 289,239.36 is: 398,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,086.47 : 576,641.43 = 289,239.36 : x
  2. Step 2: Convert to fraction form
    418,086.47/576,641.43 = 289,239.36/x
  3. Step 3: Cross multiply
    418,086.47x = 576,641.43 × 289,239.36
  4. Step 4: Simplify right side
    418,086.47x = 166,787,398,162.69
  5. Step 5: Solve for x
    x = 166,787,398,162.69/418,086.47
  6. Step 6: Final answer
    x = 398,930.39

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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.