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Finding the Fourth Proportional to 381,899.34, 527,022.54 and 209,831.18

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Solution

The fourth proportional to 381,899.34, 527,022.54 and 209,831.18 is: 289,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,899.34 : 527,022.54 = 209,831.18 : x
  2. Step 2: Convert to fraction form
    381,899.34/527,022.54 = 209,831.18/x
  3. Step 3: Cross multiply
    381,899.34x = 527,022.54 × 209,831.18
  4. Step 4: Simplify right side
    381,899.34x = 110,585,758,819.69
  5. Step 5: Solve for x
    x = 110,585,758,819.69/381,899.34
  6. Step 6: Final answer
    x = 289,567.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.