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Finding the Fourth Proportional to 336,822.84, 464,611.50 and 200,766.12

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Solution

The fourth proportional to 336,822.84, 464,611.50 and 200,766.12 is: 276,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,822.84 : 464,611.50 = 200,766.12 : x
  2. Step 2: Convert to fraction form
    336,822.84/464,611.50 = 200,766.12/x
  3. Step 3: Cross multiply
    336,822.84x = 464,611.50 × 200,766.12
  4. Step 4: Simplify right side
    336,822.84x = 93,278,248,162.38
  5. Step 5: Solve for x
    x = 93,278,248,162.38/336,822.84
  6. Step 6: Final answer
    x = 276,935.64

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Why These Related Problems?

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