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Finding the Fourth Proportional to 756,298, 1,043,691.24 and 416,766.25

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Solution

The fourth proportional to 756,298, 1,043,691.24 and 416,766.25 is: 575,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,298 : 1,043,691.24 = 416,766.25 : x
  2. Step 2: Convert to fraction form
    756,298/1,043,691.24 = 416,766.25/x
  3. Step 3: Cross multiply
    756,298x = 1,043,691.24 × 416,766.25
  4. Step 4: Simplify right side
    756,298x = 434,975,284,252.65
  5. Step 5: Solve for x
    x = 434,975,284,252.65/756,298
  6. Step 6: Final answer
    x = 575,137.43

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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.