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Finding the Fourth Proportional to 653,416.01, 980,320.84 and 204,118.73

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Solution

The fourth proportional to 653,416.01, 980,320.84 and 204,118.73 is: 306,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,416.01 : 980,320.84 = 204,118.73 : x
  2. Step 2: Convert to fraction form
    653,416.01/980,320.84 = 204,118.73/x
  3. Step 3: Cross multiply
    653,416.01x = 980,320.84 × 204,118.73
  4. Step 4: Simplify right side
    653,416.01x = 200,101,839,441.43
  5. Step 5: Solve for x
    x = 200,101,839,441.43/653,416.01
  6. Step 6: Final answer
    x = 306,239.57

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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.