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Finding the Fourth Proportional to 497,645.20, 746,467.80 and 408,998.80

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Solution

The fourth proportional to 497,645.20, 746,467.80 and 408,998.80 is: 613,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,645.20 : 746,467.80 = 408,998.80 : x
  2. Step 2: Convert to fraction form
    497,645.20/746,467.80 = 408,998.80/x
  3. Step 3: Cross multiply
    497,645.20x = 746,467.80 × 408,998.80
  4. Step 4: Simplify right side
    497,645.20x = 305,304,434,438.64
  5. Step 5: Solve for x
    x = 305,304,434,438.64/497,645.20
  6. Step 6: Final answer
    x = 613,498.20

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Double scale
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Similar ratio
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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.