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Finding the Fourth Proportional to 405,010.14, 558,908.17 and 221,246.48

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Solution

The fourth proportional to 405,010.14, 558,908.17 and 221,246.48 is: 305,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,010.14 : 558,908.17 = 221,246.48 : x
  2. Step 2: Convert to fraction form
    405,010.14/558,908.17 = 221,246.48/x
  3. Step 3: Cross multiply
    405,010.14x = 558,908.17 × 221,246.48
  4. Step 4: Simplify right side
    405,010.14x = 123,656,465,255.74
  5. Step 5: Solve for x
    x = 123,656,465,255.74/405,010.14
  6. Step 6: Final answer
    x = 305,316.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.