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Finding the Fourth Proportional to 306,802.86, 423,286.47 and 179,388.24

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Solution

The fourth proportional to 306,802.86, 423,286.47 and 179,388.24 is: 247,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,802.86 : 423,286.47 = 179,388.24 : x
  2. Step 2: Convert to fraction form
    306,802.86/423,286.47 = 179,388.24/x
  3. Step 3: Cross multiply
    306,802.86x = 423,286.47 × 179,388.24
  4. Step 4: Simplify right side
    306,802.86x = 75,932,614,869.11
  5. Step 5: Solve for x
    x = 75,932,614,869.11/306,802.86
  6. Step 6: Final answer
    x = 247,496.44

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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.