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Finding the Fourth Proportional to 512,986.14, 707,919.39 and 286,631.82

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Solution

The fourth proportional to 512,986.14, 707,919.39 and 286,631.82 is: 395,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,986.14 : 707,919.39 = 286,631.82 : x
  2. Step 2: Convert to fraction form
    512,986.14/707,919.39 = 286,631.82/x
  3. Step 3: Cross multiply
    512,986.14x = 707,919.39 × 286,631.82
  4. Step 4: Simplify right side
    512,986.14x = 202,912,223,168.99
  5. Step 5: Solve for x
    x = 202,912,223,168.99/512,986.14
  6. Step 6: Final answer
    x = 395,551.08

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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.