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Finding the Fourth Proportional to 203,913.40, 305,870.10 and 200,414.20

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Solution

The fourth proportional to 203,913.40, 305,870.10 and 200,414.20 is: 300,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,913.40 : 305,870.10 = 200,414.20 : x
  2. Step 2: Convert to fraction form
    203,913.40/305,870.10 = 200,414.20/x
  3. Step 3: Cross multiply
    203,913.40x = 305,870.10 × 200,414.20
  4. Step 4: Simplify right side
    203,913.40x = 61,300,711,395.42
  5. Step 5: Solve for x
    x = 61,300,711,395.42/203,913.40
  6. Step 6: Final answer
    x = 300,621.30

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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.