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Finding the Fourth Proportional to 462,831.28, 694,522.82 and 206,643.97

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Solution

The fourth proportional to 462,831.28, 694,522.82 and 206,643.97 is: 310,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,831.28 : 694,522.82 = 206,643.97 : x
  2. Step 2: Convert to fraction form
    462,831.28/694,522.82 = 206,643.97/x
  3. Step 3: Cross multiply
    462,831.28x = 694,522.82 × 206,643.97
  4. Step 4: Simplify right side
    462,831.28x = 143,518,952,780.40
  5. Step 5: Solve for x
    x = 143,518,952,780.40/462,831.28
  6. Step 6: Final answer
    x = 310,089.14

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Why These Related Problems?

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