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Finding the Fourth Proportional to 305,748.72, 458,446.50 and 118,541.52

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Solution

The fourth proportional to 305,748.72, 458,446.50 and 118,541.52 is: 177,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,748.72 : 458,446.50 = 118,541.52 : x
  2. Step 2: Convert to fraction form
    305,748.72/458,446.50 = 118,541.52/x
  3. Step 3: Cross multiply
    305,748.72x = 458,446.50 × 118,541.52
  4. Step 4: Simplify right side
    305,748.72x = 54,344,944,948.68
  5. Step 5: Solve for x
    x = 54,344,944,948.68/305,748.72
  6. Step 6: Final answer
    x = 177,743.82

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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.