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Finding the Fourth Proportional to 447,409.60, 617,451.82 and 256,435.32

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Solution

The fourth proportional to 447,409.60, 617,451.82 and 256,435.32 is: 353,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,409.60 : 617,451.82 = 256,435.32 : x
  2. Step 2: Convert to fraction form
    447,409.60/617,451.82 = 256,435.32/x
  3. Step 3: Cross multiply
    447,409.60x = 617,451.82 × 256,435.32
  4. Step 4: Simplify right side
    447,409.60x = 158,336,455,046.28
  5. Step 5: Solve for x
    x = 158,336,455,046.28/447,409.60
  6. Step 6: Final answer
    x = 353,895.97

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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.