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Finding the Fourth Proportional to 285,774.24, 428,628.36 and 75,428.56

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Solution

The fourth proportional to 285,774.24, 428,628.36 and 75,428.56 is: 113,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,774.24 : 428,628.36 = 75,428.56 : x
  2. Step 2: Convert to fraction form
    285,774.24/428,628.36 = 75,428.56/x
  3. Step 3: Cross multiply
    285,774.24x = 428,628.36 × 75,428.56
  4. Step 4: Simplify right side
    285,774.24x = 32,330,819,969.96
  5. Step 5: Solve for x
    x = 32,330,819,969.96/285,774.24
  6. Step 6: Final answer
    x = 113,134.13

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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.