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Finding the Fourth Proportional to 517,057.92, 713,733.12 and 302,266.80

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Solution

The fourth proportional to 517,057.92, 713,733.12 and 302,266.80 is: 417,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,057.92 : 713,733.12 = 302,266.80 : x
  2. Step 2: Convert to fraction form
    517,057.92/713,733.12 = 302,266.80/x
  3. Step 3: Cross multiply
    517,057.92x = 713,733.12 × 302,266.80
  4. Step 4: Simplify right side
    517,057.92x = 215,737,826,236.42
  5. Step 5: Solve for x
    x = 215,737,826,236.42/517,057.92
  6. Step 6: Final answer
    x = 417,241.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.