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Finding the Fourth Proportional to 410,864.80, 616,297.20 and 224,240.80

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Solution

The fourth proportional to 410,864.80, 616,297.20 and 224,240.80 is: 336,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,864.80 : 616,297.20 = 224,240.80 : x
  2. Step 2: Convert to fraction form
    410,864.80/616,297.20 = 224,240.80/x
  3. Step 3: Cross multiply
    410,864.80x = 616,297.20 × 224,240.80
  4. Step 4: Simplify right side
    410,864.80x = 138,198,977,165.76
  5. Step 5: Solve for x
    x = 138,198,977,165.76/410,864.80
  6. Step 6: Final answer
    x = 336,361.20

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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.