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Finding the Fourth Proportional to 513,343.95, 769,957.10 and 134,301.27

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Solution

The fourth proportional to 513,343.95, 769,957.10 and 134,301.27 is: 201,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,343.95 : 769,957.10 = 134,301.27 : x
  2. Step 2: Convert to fraction form
    513,343.95/769,957.10 = 134,301.27/x
  3. Step 3: Cross multiply
    513,343.95x = 769,957.10 × 134,301.27
  4. Step 4: Simplify right side
    513,343.95x = 103,406,212,525.73
  5. Step 5: Solve for x
    x = 103,406,212,525.73/513,343.95
  6. Step 6: Final answer
    x = 201,436.51

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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.