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Finding the Fourth Proportional to 342,896.20, 514,344.30 and 106,311.40

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Solution

The fourth proportional to 342,896.20, 514,344.30 and 106,311.40 is: 159,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,896.20 : 514,344.30 = 106,311.40 : x
  2. Step 2: Convert to fraction form
    342,896.20/514,344.30 = 106,311.40/x
  3. Step 3: Cross multiply
    342,896.20x = 514,344.30 × 106,311.40
  4. Step 4: Simplify right side
    342,896.20x = 54,680,662,615.02
  5. Step 5: Solve for x
    x = 54,680,662,615.02/342,896.20
  6. Step 6: Final answer
    x = 159,467.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.