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Finding the Fourth Proportional to 420,498.99, 580,288.41 and 229,512.36

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Solution

The fourth proportional to 420,498.99, 580,288.41 and 229,512.36 is: 316,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,498.99 : 580,288.41 = 229,512.36 : x
  2. Step 2: Convert to fraction form
    420,498.99/580,288.41 = 229,512.36/x
  3. Step 3: Cross multiply
    420,498.99x = 580,288.41 × 229,512.36
  4. Step 4: Simplify right side
    420,498.99x = 133,183,362,459.75
  5. Step 5: Solve for x
    x = 133,183,362,459.75/420,498.99
  6. Step 6: Final answer
    x = 316,726.95

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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.