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Finding the Fourth Proportional to 217,077.40, 325,616.10 and 180,213.40

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Solution

The fourth proportional to 217,077.40, 325,616.10 and 180,213.40 is: 270,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,077.40 : 325,616.10 = 180,213.40 : x
  2. Step 2: Convert to fraction form
    217,077.40/325,616.10 = 180,213.40/x
  3. Step 3: Cross multiply
    217,077.40x = 325,616.10 × 180,213.40
  4. Step 4: Simplify right side
    217,077.40x = 58,680,384,475.74
  5. Step 5: Solve for x
    x = 58,680,384,475.74/217,077.40
  6. Step 6: Final answer
    x = 270,320.10

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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.