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Finding the Fourth Proportional to 431,051.14, 646,536.81 and 203,294.53

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Solution

The fourth proportional to 431,051.14, 646,536.81 and 203,294.53 is: 304,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,051.14 : 646,536.81 = 203,294.53 : x
  2. Step 2: Convert to fraction form
    431,051.14/646,536.81 = 203,294.53/x
  3. Step 3: Cross multiply
    431,051.14x = 646,536.81 × 203,294.53
  4. Step 4: Simplify right side
    431,051.14x = 131,437,395,900.18
  5. Step 5: Solve for x
    x = 131,437,395,900.18/431,051.14
  6. Step 6: Final answer
    x = 304,922.97

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