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Finding the Fourth Proportional to 513,353.68, 769,971.65 and 134,311.01

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Solution

The fourth proportional to 513,353.68, 769,971.65 and 134,311.01 is: 201,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,353.68 : 769,971.65 = 134,311.01 : x
  2. Step 2: Convert to fraction form
    513,353.68/769,971.65 = 134,311.01/x
  3. Step 3: Cross multiply
    513,353.68x = 769,971.65 × 134,311.01
  4. Step 4: Simplify right side
    513,353.68x = 103,415,669,311.31
  5. Step 5: Solve for x
    x = 103,415,669,311.31/513,353.68
  6. Step 6: Final answer
    x = 201,451.11

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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.