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Finding the Fourth Proportional to 447,142.44, 617,311.62 and 296,443.56

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Solution

The fourth proportional to 447,142.44, 617,311.62 and 296,443.56 is: 409,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,142.44 : 617,311.62 = 296,443.56 : x
  2. Step 2: Convert to fraction form
    447,142.44/617,311.62 = 296,443.56/x
  3. Step 3: Cross multiply
    447,142.44x = 617,311.62 × 296,443.56
  4. Step 4: Simplify right side
    447,142.44x = 182,998,054,262.17
  5. Step 5: Solve for x
    x = 182,998,054,262.17/447,142.44
  6. Step 6: Final answer
    x = 409,261.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.