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Finding the Fourth Proportional to 447,407.72, 617,449.26 and 256,433.38

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Solution

The fourth proportional to 447,407.72, 617,449.26 and 256,433.38 is: 353,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,407.72 : 617,449.26 = 256,433.38 : x
  2. Step 2: Convert to fraction form
    447,407.72/617,449.26 = 256,433.38/x
  3. Step 3: Cross multiply
    447,407.72x = 617,449.26 × 256,433.38
  4. Step 4: Simplify right side
    447,407.72x = 158,334,600,720.30
  5. Step 5: Solve for x
    x = 158,334,600,720.30/447,407.72
  6. Step 6: Final answer
    x = 353,893.31

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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.