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Finding the Fourth Proportional to 382,081.60, 573,122.40 and 222,649.30

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Solution

The fourth proportional to 382,081.60, 573,122.40 and 222,649.30 is: 333,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,081.60 : 573,122.40 = 222,649.30 : x
  2. Step 2: Convert to fraction form
    382,081.60/573,122.40 = 222,649.30/x
  3. Step 3: Cross multiply
    382,081.60x = 573,122.40 × 222,649.30
  4. Step 4: Simplify right side
    382,081.60x = 127,605,301,174.32
  5. Step 5: Solve for x
    x = 127,605,301,174.32/382,081.60
  6. Step 6: Final answer
    x = 333,973.95

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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.