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Finding the Fourth Proportional to 312,882.42, 431,655.63 and 204,114.62

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Solution

The fourth proportional to 312,882.42, 431,655.63 and 204,114.62 is: 281,598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,882.42 : 431,655.63 = 204,114.62 : x
  2. Step 2: Convert to fraction form
    312,882.42/431,655.63 = 204,114.62/x
  3. Step 3: Cross multiply
    312,882.42x = 431,655.63 × 204,114.62
  4. Step 4: Simplify right side
    312,882.42x = 88,107,225,202.02
  5. Step 5: Solve for x
    x = 88,107,225,202.02/312,882.42
  6. Step 6: Final answer
    x = 281,598.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.