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Finding the Fourth Proportional to 334,754.96, 461,769 and 200,541.20

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Solution

The fourth proportional to 334,754.96, 461,769 and 200,541.20 is: 276,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,754.96 : 461,769 = 200,541.20 : x
  2. Step 2: Convert to fraction form
    334,754.96/461,769 = 200,541.20/x
  3. Step 3: Cross multiply
    334,754.96x = 461,769 × 200,541.20
  4. Step 4: Simplify right side
    334,754.96x = 92,603,709,382.80
  5. Step 5: Solve for x
    x = 92,603,709,382.80/334,754.96
  6. Step 6: Final answer
    x = 276,631.33

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1.5x scale

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.