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Finding the Fourth Proportional to 542,144.09, 813,210.26 and 222,224.64

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Solution

The fourth proportional to 542,144.09, 813,210.26 and 222,224.64 is: 333,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,144.09 : 813,210.26 = 222,224.64 : x
  2. Step 2: Convert to fraction form
    542,144.09/813,210.26 = 222,224.64/x
  3. Step 3: Cross multiply
    542,144.09x = 813,210.26 × 222,224.64
  4. Step 4: Simplify right side
    542,144.09x = 180,715,356,024.31
  5. Step 5: Solve for x
    x = 180,715,356,024.31/542,144.09
  6. Step 6: Final answer
    x = 333,334.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.