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Finding the Fourth Proportional to 542,969.40, 815,231.70 and 306,773.40

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Solution

The fourth proportional to 542,969.40, 815,231.70 and 306,773.40 is: 460,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,969.40 : 815,231.70 = 306,773.40 : x
  2. Step 2: Convert to fraction form
    542,969.40/815,231.70 = 306,773.40/x
  3. Step 3: Cross multiply
    542,969.40x = 815,231.70 × 306,773.40
  4. Step 4: Simplify right side
    542,969.40x = 250,091,400,396.78
  5. Step 5: Solve for x
    x = 250,091,400,396.78/542,969.40
  6. Step 6: Final answer
    x = 460,599.44

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1.5x scale

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.