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Finding the Fourth Proportional to 340,092.40, 509,701.20 and 206,831.20

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Solution

The fourth proportional to 340,092.40, 509,701.20 and 206,831.20 is: 309,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,092.40 : 509,701.20 = 206,831.20 : x
  2. Step 2: Convert to fraction form
    340,092.40/509,701.20 = 206,831.20/x
  3. Step 3: Cross multiply
    340,092.40x = 509,701.20 × 206,831.20
  4. Step 4: Simplify right side
    340,092.40x = 105,422,110,837.44
  5. Step 5: Solve for x
    x = 105,422,110,837.44/340,092.40
  6. Step 6: Final answer
    x = 309,980.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.