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Finding the Fourth Proportional to 513,189.14, 769,560.95 and 197,424.41

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Solution

The fourth proportional to 513,189.14, 769,560.95 and 197,424.41 is: 296,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,189.14 : 769,560.95 = 197,424.41 : x
  2. Step 2: Convert to fraction form
    513,189.14/769,560.95 = 197,424.41/x
  3. Step 3: Cross multiply
    513,189.14x = 769,560.95 × 197,424.41
  4. Step 4: Simplify right side
    513,189.14x = 151,930,113,158.55
  5. Step 5: Solve for x
    x = 151,930,113,158.55/513,189.14
  6. Step 6: Final answer
    x = 296,050.92

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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.