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Finding the Fourth Proportional to 411,465.27, 567,799.25 and 230,142.18

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Solution

The fourth proportional to 411,465.27, 567,799.25 and 230,142.18 is: 317,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,465.27 : 567,799.25 = 230,142.18 : x
  2. Step 2: Convert to fraction form
    411,465.27/567,799.25 = 230,142.18/x
  3. Step 3: Cross multiply
    411,465.27x = 567,799.25 × 230,142.18
  4. Step 4: Simplify right side
    411,465.27x = 130,674,556,046.65
  5. Step 5: Solve for x
    x = 130,674,556,046.65/411,465.27
  6. Step 6: Final answer
    x = 317,583.44

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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.