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Finding the Fourth Proportional to 420,418.50, 580,189.77 and 229,444.10

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Solution

The fourth proportional to 420,418.50, 580,189.77 and 229,444.10 is: 316,639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,418.50 : 580,189.77 = 229,444.10 : x
  2. Step 2: Convert to fraction form
    420,418.50/580,189.77 = 229,444.10/x
  3. Step 3: Cross multiply
    420,418.50x = 580,189.77 × 229,444.10
  4. Step 4: Simplify right side
    420,418.50x = 133,121,119,606.86
  5. Step 5: Solve for x
    x = 133,121,119,606.86/420,418.50
  6. Step 6: Final answer
    x = 316,639.54

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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.