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Finding the Fourth Proportional to 336,490.26, 464,345.22 and 200,453.74

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Solution

The fourth proportional to 336,490.26, 464,345.22 and 200,453.74 is: 276,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,490.26 : 464,345.22 = 200,453.74 : x
  2. Step 2: Convert to fraction form
    336,490.26/464,345.22 = 200,453.74/x
  3. Step 3: Cross multiply
    336,490.26x = 464,345.22 × 200,453.74
  4. Step 4: Simplify right side
    336,490.26x = 93,079,736,000.12
  5. Step 5: Solve for x
    x = 93,079,736,000.12/336,490.26
  6. Step 6: Final answer
    x = 276,619.41

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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.