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Finding the Fourth Proportional to 410,843.20, 616,898.40 and 224,219.20

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Solution

The fourth proportional to 410,843.20, 616,898.40 and 224,219.20 is: 336,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,843.20 : 616,898.40 = 224,219.20 : x
  2. Step 2: Convert to fraction form
    410,843.20/616,898.40 = 224,219.20/x
  3. Step 3: Cross multiply
    410,843.20x = 616,898.40 × 224,219.20
  4. Step 4: Simplify right side
    410,843.20x = 138,320,465,729.28
  5. Step 5: Solve for x
    x = 138,320,465,729.28/410,843.20
  6. Step 6: Final answer
    x = 336,674.59

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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.