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Finding the Fourth Proportional to 327,602.66, 491,054.04 and 233,824.10

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Solution

The fourth proportional to 327,602.66, 491,054.04 and 233,824.10 is: 350,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,602.66 : 491,054.04 = 233,824.10 : x
  2. Step 2: Convert to fraction form
    327,602.66/491,054.04 = 233,824.10/x
  3. Step 3: Cross multiply
    327,602.66x = 491,054.04 × 233,824.10
  4. Step 4: Simplify right side
    327,602.66x = 114,820,266,499.09
  5. Step 5: Solve for x
    x = 114,820,266,499.09/327,602.66
  6. Step 6: Final answer
    x = 350,486.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.