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Finding the Fourth Proportional to 341,200.20, 511,022.70 and 201,232.20

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Solution

The fourth proportional to 341,200.20, 511,022.70 and 201,232.20 is: 301,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,200.20 : 511,022.70 = 201,232.20 : x
  2. Step 2: Convert to fraction form
    341,200.20/511,022.70 = 201,232.20/x
  3. Step 3: Cross multiply
    341,200.20x = 511,022.70 × 201,232.20
  4. Step 4: Simplify right side
    341,200.20x = 102,834,222,170.94
  5. Step 5: Solve for x
    x = 102,834,222,170.94/341,200.20
  6. Step 6: Final answer
    x = 301,389.69

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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.