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Finding the Fourth Proportional to 369,362.66, 509,728.27 and 208,217.71

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Solution

The fourth proportional to 369,362.66, 509,728.27 and 208,217.71 is: 287,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,362.66 : 509,728.27 = 208,217.71 : x
  2. Step 2: Convert to fraction form
    369,362.66/509,728.27 = 208,217.71/x
  3. Step 3: Cross multiply
    369,362.66x = 509,728.27 × 208,217.71
  4. Step 4: Simplify right side
    369,362.66x = 106,134,454,456.68
  5. Step 5: Solve for x
    x = 106,134,454,456.68/369,362.66
  6. Step 6: Final answer
    x = 287,344.84

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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.