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Finding the Fourth Proportional to 447,404.28, 617,399.73 and 256,284.78

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Solution

The fourth proportional to 447,404.28, 617,399.73 and 256,284.78 is: 353,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,404.28 : 617,399.73 = 256,284.78 : x
  2. Step 2: Convert to fraction form
    447,404.28/617,399.73 = 256,284.78/x
  3. Step 3: Cross multiply
    447,404.28x = 617,399.73 × 256,284.78
  4. Step 4: Simplify right side
    447,404.28x = 158,230,153,975.11
  5. Step 5: Solve for x
    x = 158,230,153,975.11/447,404.28
  6. Step 6: Final answer
    x = 353,662.58

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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.