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Finding the Fourth Proportional to 357,104, 535,806.19 and 222,280.78

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Solution

The fourth proportional to 357,104, 535,806.19 and 222,280.78 is: 333,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,104 : 535,806.19 = 222,280.78 : x
  2. Step 2: Convert to fraction form
    357,104/535,806.19 = 222,280.78/x
  3. Step 3: Cross multiply
    357,104x = 535,806.19 × 222,280.78
  4. Step 4: Simplify right side
    357,104x = 119,099,417,842.03
  5. Step 5: Solve for x
    x = 119,099,417,842.03/357,104
  6. Step 6: Final answer
    x = 333,514.66

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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.