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Finding the Fourth Proportional to 665,623.20, 998,434.80 and 413,680.80

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Solution

The fourth proportional to 665,623.20, 998,434.80 and 413,680.80 is: 620,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,623.20 : 998,434.80 = 413,680.80 : x
  2. Step 2: Convert to fraction form
    665,623.20/998,434.80 = 413,680.80/x
  3. Step 3: Cross multiply
    665,623.20x = 998,434.80 × 413,680.80
  4. Step 4: Simplify right side
    665,623.20x = 413,033,306,811.84
  5. Step 5: Solve for x
    x = 413,033,306,811.84/665,623.20
  6. Step 6: Final answer
    x = 620,521.20

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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.