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Finding the Fourth Proportional to 589,317, 883,997.40 and 189,963.54

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Solution

The fourth proportional to 589,317, 883,997.40 and 189,963.54 is: 284,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,317 : 883,997.40 = 189,963.54 : x
  2. Step 2: Convert to fraction form
    589,317/883,997.40 = 189,963.54/x
  3. Step 3: Cross multiply
    589,317x = 883,997.40 × 189,963.54
  4. Step 4: Simplify right side
    589,317x = 167,927,275,454.80
  5. Step 5: Solve for x
    x = 167,927,275,454.80/589,317
  6. Step 6: Final answer
    x = 284,952.37

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1.5x scale

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.