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Finding the Fourth Proportional to 420,612.12, 580,477.86 and 239,331.69

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Solution

The fourth proportional to 420,612.12, 580,477.86 and 239,331.69 is: 330,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,612.12 : 580,477.86 = 239,331.69 : x
  2. Step 2: Convert to fraction form
    420,612.12/580,477.86 = 239,331.69/x
  3. Step 3: Cross multiply
    420,612.12x = 580,477.86 × 239,331.69
  4. Step 4: Simplify right side
    420,612.12x = 138,926,747,241.38
  5. Step 5: Solve for x
    x = 138,926,747,241.38/420,612.12
  6. Step 6: Final answer
    x = 330,296.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.