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Finding the Fourth Proportional to 410,858.20, 616,920.90 and 224,234.20

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Solution

The fourth proportional to 410,858.20, 616,920.90 and 224,234.20 is: 336,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,858.20 : 616,920.90 = 224,234.20 : x
  2. Step 2: Convert to fraction form
    410,858.20/616,920.90 = 224,234.20/x
  3. Step 3: Cross multiply
    410,858.20x = 616,920.90 × 224,234.20
  4. Step 4: Simplify right side
    410,858.20x = 138,334,764,474.78
  5. Step 5: Solve for x
    x = 138,334,764,474.78/410,858.20
  6. Step 6: Final answer
    x = 336,697.10

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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.