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Finding the Fourth Proportional to 512,513.42, 707,312.25 and 286,202.66

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Solution

The fourth proportional to 512,513.42, 707,312.25 and 286,202.66 is: 394,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,513.42 : 707,312.25 = 286,202.66 : x
  2. Step 2: Convert to fraction form
    512,513.42/707,312.25 = 286,202.66/x
  3. Step 3: Cross multiply
    512,513.42x = 707,312.25 × 286,202.66
  4. Step 4: Simplify right side
    512,513.42x = 202,434,647,400.59
  5. Step 5: Solve for x
    x = 202,434,647,400.59/512,513.42
  6. Step 6: Final answer
    x = 394,984.09

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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.