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Finding the Fourth Proportional to 378,059.40, 566,505.90 and 327,904.20

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Solution

The fourth proportional to 378,059.40, 566,505.90 and 327,904.20 is: 491,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,059.40 : 566,505.90 = 327,904.20 : x
  2. Step 2: Convert to fraction form
    378,059.40/566,505.90 = 327,904.20/x
  3. Step 3: Cross multiply
    378,059.40x = 566,505.90 × 327,904.20
  4. Step 4: Simplify right side
    378,059.40x = 185,759,663,934.78
  5. Step 5: Solve for x
    x = 185,759,663,934.78/378,059.40
  6. Step 6: Final answer
    x = 491,350.47

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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.