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Finding the Fourth Proportional to 542,942.40, 815,191.20 and 306,746.40

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Solution

The fourth proportional to 542,942.40, 815,191.20 and 306,746.40 is: 460,558.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,942.40 : 815,191.20 = 306,746.40 : x
  2. Step 2: Convert to fraction form
    542,942.40/815,191.20 = 306,746.40/x
  3. Step 3: Cross multiply
    542,942.40x = 815,191.20 × 306,746.40
  4. Step 4: Simplify right side
    542,942.40x = 250,056,965,911.68
  5. Step 5: Solve for x
    x = 250,056,965,911.68/542,942.40
  6. Step 6: Final answer
    x = 460,558.92

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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.