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Finding the Fourth Proportional to 469,641.73, 703,902.09 and 256,463.31

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Solution

The fourth proportional to 469,641.73, 703,902.09 and 256,463.31 is: 384,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,641.73 : 703,902.09 = 256,463.31 : x
  2. Step 2: Convert to fraction form
    469,641.73/703,902.09 = 256,463.31/x
  3. Step 3: Cross multiply
    469,641.73x = 703,902.09 × 256,463.31
  4. Step 4: Simplify right side
    469,641.73x = 180,525,059,917.32
  5. Step 5: Solve for x
    x = 180,525,059,917.32/469,641.73
  6. Step 6: Final answer
    x = 384,388.88

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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.