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Finding the Fourth Proportional to 420,240.34, 579,933.03 and 229,257.73

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Solution

The fourth proportional to 420,240.34, 579,933.03 and 229,257.73 is: 316,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,240.34 : 579,933.03 = 229,257.73 : x
  2. Step 2: Convert to fraction form
    420,240.34/579,933.03 = 229,257.73/x
  3. Step 3: Cross multiply
    420,240.34x = 579,933.03 × 229,257.73
  4. Step 4: Simplify right side
    420,240.34x = 132,954,130,009.82
  5. Step 5: Solve for x
    x = 132,954,130,009.82/420,240.34
  6. Step 6: Final answer
    x = 316,376.41

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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.