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Finding the Fourth Proportional to 294,902.13, 442,353.47 and 73,286.13

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Solution

The fourth proportional to 294,902.13, 442,353.47 and 73,286.13 is: 109,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,902.13 : 442,353.47 = 73,286.13 : x
  2. Step 2: Convert to fraction form
    294,902.13/442,353.47 = 73,286.13/x
  3. Step 3: Cross multiply
    294,902.13x = 442,353.47 × 73,286.13
  4. Step 4: Simplify right side
    294,902.13x = 32,418,373,908.37
  5. Step 5: Solve for x
    x = 32,418,373,908.37/294,902.13
  6. Step 6: Final answer
    x = 109,929.26

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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.