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Finding the Fourth Proportional to 420,141.37, 579,794.73 and 229,154.17

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Solution

The fourth proportional to 420,141.37, 579,794.73 and 229,154.17 is: 316,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,141.37 : 579,794.73 = 229,154.17 : x
  2. Step 2: Convert to fraction form
    420,141.37/579,794.73 = 229,154.17/x
  3. Step 3: Cross multiply
    420,141.37x = 579,794.73 × 229,154.17
  4. Step 4: Simplify right side
    420,141.37x = 132,862,380,123.52
  5. Step 5: Solve for x
    x = 132,862,380,123.52/420,141.37
  6. Step 6: Final answer
    x = 316,232.56

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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.