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Finding the Fourth Proportional to 293,843.66, 405,670.78 and 224,803.24

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Solution

The fourth proportional to 293,843.66, 405,670.78 and 224,803.24 is: 310,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,843.66 : 405,670.78 = 224,803.24 : x
  2. Step 2: Convert to fraction form
    293,843.66/405,670.78 = 224,803.24/x
  3. Step 3: Cross multiply
    293,843.66x = 405,670.78 × 224,803.24
  4. Step 4: Simplify right side
    293,843.66x = 91,196,105,717.33
  5. Step 5: Solve for x
    x = 91,196,105,717.33/293,843.66
  6. Step 6: Final answer
    x = 310,355.87

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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.