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Finding the Fourth Proportional to 462,616.24, 638,164.15 and 281,383.60

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Solution

The fourth proportional to 462,616.24, 638,164.15 and 281,383.60 is: 388,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,616.24 : 638,164.15 = 281,383.60 : x
  2. Step 2: Convert to fraction form
    462,616.24/638,164.15 = 281,383.60/x
  3. Step 3: Cross multiply
    462,616.24x = 638,164.15 × 281,383.60
  4. Step 4: Simplify right side
    462,616.24x = 179,568,925,917.94
  5. Step 5: Solve for x
    x = 179,568,925,917.94/462,616.24
  6. Step 6: Final answer
    x = 388,159.58

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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.