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Finding the Fourth Proportional to 338,300.40, 506,138.40 and 220,202.40

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Solution

The fourth proportional to 338,300.40, 506,138.40 and 220,202.40 is: 329,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,300.40 : 506,138.40 = 220,202.40 : x
  2. Step 2: Convert to fraction form
    338,300.40/506,138.40 = 220,202.40/x
  3. Step 3: Cross multiply
    338,300.40x = 506,138.40 × 220,202.40
  4. Step 4: Simplify right side
    338,300.40x = 111,452,890,412.16
  5. Step 5: Solve for x
    x = 111,452,890,412.16/338,300.40
  6. Step 6: Final answer
    x = 329,449.48

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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.