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Finding the Fourth Proportional to 410,855.20, 616,916.40 and 224,231.20

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Solution

The fourth proportional to 410,855.20, 616,916.40 and 224,231.20 is: 336,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,855.20 : 616,916.40 = 224,231.20 : x
  2. Step 2: Convert to fraction form
    410,855.20/616,916.40 = 224,231.20/x
  3. Step 3: Cross multiply
    410,855.20x = 616,916.40 × 224,231.20
  4. Step 4: Simplify right side
    410,855.20x = 138,331,904,671.68
  5. Step 5: Solve for x
    x = 138,331,904,671.68/410,855.20
  6. Step 6: Final answer
    x = 336,692.60

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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.