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Finding the Fourth Proportional to 420,388.69, 580,137.99 and 229,402.08

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Solution

The fourth proportional to 420,388.69, 580,137.99 and 229,402.08 is: 316,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,388.69 : 580,137.99 = 229,402.08 : x
  2. Step 2: Convert to fraction form
    420,388.69/580,137.99 = 229,402.08/x
  3. Step 3: Cross multiply
    420,388.69x = 580,137.99 × 229,402.08
  4. Step 4: Simplify right side
    420,388.69x = 133,084,861,593.02
  5. Step 5: Solve for x
    x = 133,084,861,593.02/420,388.69
  6. Step 6: Final answer
    x = 316,575.74

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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.