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Finding the Fourth Proportional to 336,363.96, 464,294.75 and 200,440.55

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Solution

The fourth proportional to 336,363.96, 464,294.75 and 200,440.55 is: 276,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,363.96 : 464,294.75 = 200,440.55 : x
  2. Step 2: Convert to fraction form
    336,363.96/464,294.75 = 200,440.55/x
  3. Step 3: Cross multiply
    336,363.96x = 464,294.75 × 200,440.55
  4. Step 4: Simplify right side
    336,363.96x = 93,063,493,891.38
  5. Step 5: Solve for x
    x = 93,063,493,891.38/336,363.96
  6. Step 6: Final answer
    x = 276,674.98

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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.