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Finding the Fourth Proportional to 298,178.88, 447,268.24 and 204,400.32

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Solution

The fourth proportional to 298,178.88, 447,268.24 and 204,400.32 is: 306,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,178.88 : 447,268.24 = 204,400.32 : x
  2. Step 2: Convert to fraction form
    298,178.88/447,268.24 = 204,400.32/x
  3. Step 3: Cross multiply
    298,178.88x = 447,268.24 × 204,400.32
  4. Step 4: Simplify right side
    298,178.88x = 91,421,771,381.84
  5. Step 5: Solve for x
    x = 91,421,771,381.84/298,178.88
  6. Step 6: Final answer
    x = 306,600.43

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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.