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Finding the Fourth Proportional to 447,406.22, 617,447.19 and 256,431.89

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Solution

The fourth proportional to 447,406.22, 617,447.19 and 256,431.89 is: 353,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,406.22 : 617,447.19 = 256,431.89 : x
  2. Step 2: Convert to fraction form
    447,406.22/617,447.19 = 256,431.89/x
  3. Step 3: Cross multiply
    447,406.22x = 617,447.19 × 256,431.89
  4. Step 4: Simplify right side
    447,406.22x = 158,333,146,819.65
  5. Step 5: Solve for x
    x = 158,333,146,819.65/447,406.22
  6. Step 6: Final answer
    x = 353,891.25

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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.