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Finding the Fourth Proportional to 307,396, 460,843.71 and 206,298.28

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Solution

The fourth proportional to 307,396, 460,843.71 and 206,298.28 is: 309,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,396 : 460,843.71 = 206,298.28 : x
  2. Step 2: Convert to fraction form
    307,396/460,843.71 = 206,298.28/x
  3. Step 3: Cross multiply
    307,396x = 460,843.71 × 206,298.28
  4. Step 4: Simplify right side
    307,396x = 95,071,264,721.82
  5. Step 5: Solve for x
    x = 95,071,264,721.82/307,396
  6. Step 6: Final answer
    x = 309,279.45

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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.