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Finding the Fourth Proportional to 577,533.32, 866,447.62 and 222,452

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Solution

The fourth proportional to 577,533.32, 866,447.62 and 222,452 is: 333,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,533.32 : 866,447.62 = 222,452 : x
  2. Step 2: Convert to fraction form
    577,533.32/866,447.62 = 222,452/x
  3. Step 3: Cross multiply
    577,533.32x = 866,447.62 × 222,452
  4. Step 4: Simplify right side
    577,533.32x = 192,743,005,964.24
  5. Step 5: Solve for x
    x = 192,743,005,964.24/577,533.32
  6. Step 6: Final answer
    x = 333,734.87

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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.