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Finding the Fourth Proportional to 410,814.20, 616,854.90 and 224,190.20

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Solution

The fourth proportional to 410,814.20, 616,854.90 and 224,190.20 is: 336,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,814.20 : 616,854.90 = 224,190.20 : x
  2. Step 2: Convert to fraction form
    410,814.20/616,854.90 = 224,190.20/x
  3. Step 3: Cross multiply
    410,814.20x = 616,854.90 × 224,190.20
  4. Step 4: Simplify right side
    410,814.20x = 138,292,823,401.98
  5. Step 5: Solve for x
    x = 138,292,823,401.98/410,814.20
  6. Step 6: Final answer
    x = 336,631.07

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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.