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Finding the Fourth Proportional to 517,233.60, 713,771.18 and 299,451.46

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Solution

The fourth proportional to 517,233.60, 713,771.18 and 299,451.46 is: 413,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,233.60 : 713,771.18 = 299,451.46 : x
  2. Step 2: Convert to fraction form
    517,233.60/713,771.18 = 299,451.46/x
  3. Step 3: Cross multiply
    517,233.60x = 713,771.18 × 299,451.46
  4. Step 4: Simplify right side
    517,233.60x = 213,739,821,956.92
  5. Step 5: Solve for x
    x = 213,739,821,956.92/517,233.60
  6. Step 6: Final answer
    x = 413,236.54

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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.