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Finding the Fourth Proportional to 400,738.83, 553,019.82 and 216,976.83

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Solution

The fourth proportional to 400,738.83, 553,019.82 and 216,976.83 is: 299,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,738.83 : 553,019.82 = 216,976.83 : x
  2. Step 2: Convert to fraction form
    400,738.83/553,019.82 = 216,976.83/x
  3. Step 3: Cross multiply
    400,738.83x = 553,019.82 × 216,976.83
  4. Step 4: Simplify right side
    400,738.83x = 119,992,487,470.77
  5. Step 5: Solve for x
    x = 119,992,487,470.77/400,738.83
  6. Step 6: Final answer
    x = 299,428.15

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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.