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Finding the Fourth Proportional to 494,086.19, 740,947.75 and 169,782.32

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Solution

The fourth proportional to 494,086.19, 740,947.75 and 169,782.32 is: 254,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,086.19 : 740,947.75 = 169,782.32 : x
  2. Step 2: Convert to fraction form
    494,086.19/740,947.75 = 169,782.32/x
  3. Step 3: Cross multiply
    494,086.19x = 740,947.75 × 169,782.32
  4. Step 4: Simplify right side
    494,086.19x = 125,799,827,993.78
  5. Step 5: Solve for x
    x = 125,799,827,993.78/494,086.19
  6. Step 6: Final answer
    x = 254,611.10

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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.