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Finding the Fourth Proportional to 361,456.84, 541,323.41 and 209,332.49

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Solution

The fourth proportional to 361,456.84, 541,323.41 and 209,332.49 is: 313,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,456.84 : 541,323.41 = 209,332.49 : x
  2. Step 2: Convert to fraction form
    361,456.84/541,323.41 = 209,332.49/x
  3. Step 3: Cross multiply
    361,456.84x = 541,323.41 × 209,332.49
  4. Step 4: Simplify right side
    361,456.84x = 113,316,576,263.93
  5. Step 5: Solve for x
    x = 113,316,576,263.93/361,456.84
  6. Step 6: Final answer
    x = 313,499.61

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