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Finding the Fourth Proportional to 420,143.30, 579,805.64 and 229,163.52

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Solution

The fourth proportional to 420,143.30, 579,805.64 and 229,163.52 is: 316,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,143.30 : 579,805.64 = 229,163.52 : x
  2. Step 2: Convert to fraction form
    420,143.30/579,805.64 = 229,163.52/x
  3. Step 3: Cross multiply
    420,143.30x = 579,805.64 × 229,163.52
  4. Step 4: Simplify right side
    420,143.30x = 132,870,301,378.25
  5. Step 5: Solve for x
    x = 132,870,301,378.25/420,143.30
  6. Step 6: Final answer
    x = 316,249.96

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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.