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Finding the Fourth Proportional to 275,816.30, 413,724.45 and 256,133.30

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Solution

The fourth proportional to 275,816.30, 413,724.45 and 256,133.30 is: 384,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,816.30 : 413,724.45 = 256,133.30 : x
  2. Step 2: Convert to fraction form
    275,816.30/413,724.45 = 256,133.30/x
  3. Step 3: Cross multiply
    275,816.30x = 413,724.45 × 256,133.30
  4. Step 4: Simplify right side
    275,816.30x = 105,968,608,669.19
  5. Step 5: Solve for x
    x = 105,968,608,669.19/275,816.30
  6. Step 6: Final answer
    x = 384,199.95

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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.