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Finding the Fourth Proportional to 304,409.46, 420,056.46 and 206,092.71

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Solution

The fourth proportional to 304,409.46, 420,056.46 and 206,092.71 is: 284,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,409.46 : 420,056.46 = 206,092.71 : x
  2. Step 2: Convert to fraction form
    304,409.46/420,056.46 = 206,092.71/x
  3. Step 3: Cross multiply
    304,409.46x = 420,056.46 × 206,092.71
  4. Step 4: Simplify right side
    304,409.46x = 86,570,574,194.41
  5. Step 5: Solve for x
    x = 86,570,574,194.41/304,409.46
  6. Step 6: Final answer
    x = 284,388.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.