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Finding the Fourth Proportional to 410,819.40, 616,229.10 and 189,635.40

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Solution

The fourth proportional to 410,819.40, 616,229.10 and 189,635.40 is: 284,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,819.40 : 616,229.10 = 189,635.40 : x
  2. Step 2: Convert to fraction form
    410,819.40/616,229.10 = 189,635.40/x
  3. Step 3: Cross multiply
    410,819.40x = 616,229.10 × 189,635.40
  4. Step 4: Simplify right side
    410,819.40x = 116,858,851,870.14
  5. Step 5: Solve for x
    x = 116,858,851,870.14/410,819.40
  6. Step 6: Final answer
    x = 284,453.10

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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.