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Finding the Fourth Proportional to 295,008.54, 406,964.38 and 186,247.66

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Solution

The fourth proportional to 295,008.54, 406,964.38 and 186,247.66 is: 256,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,008.54 : 406,964.38 = 186,247.66 : x
  2. Step 2: Convert to fraction form
    295,008.54/406,964.38 = 186,247.66/x
  3. Step 3: Cross multiply
    295,008.54x = 406,964.38 × 186,247.66
  4. Step 4: Simplify right side
    295,008.54x = 75,796,163,478.35
  5. Step 5: Solve for x
    x = 75,796,163,478.35/295,008.54
  6. Step 6: Final answer
    x = 256,928.71

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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.