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Finding the Fourth Proportional to 496,232.32, 744,594.72 and 196,706.56

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Solution

The fourth proportional to 496,232.32, 744,594.72 and 196,706.56 is: 295,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,232.32 : 744,594.72 = 196,706.56 : x
  2. Step 2: Convert to fraction form
    496,232.32/744,594.72 = 196,706.56/x
  3. Step 3: Cross multiply
    496,232.32x = 744,594.72 × 196,706.56
  4. Step 4: Simplify right side
    496,232.32x = 146,466,665,965.36
  5. Step 5: Solve for x
    x = 146,466,665,965.36/496,232.32
  6. Step 6: Final answer
    x = 295,157.45

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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.