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Finding the Fourth Proportional to 420,866.92, 580,772.82 and 239,623

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Solution

The fourth proportional to 420,866.92, 580,772.82 and 239,623 is: 330,666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,866.92 : 580,772.82 = 239,623 : x
  2. Step 2: Convert to fraction form
    420,866.92/580,772.82 = 239,623/x
  3. Step 3: Cross multiply
    420,866.92x = 580,772.82 × 239,623
  4. Step 4: Simplify right side
    420,866.92x = 139,166,525,446.86
  5. Step 5: Solve for x
    x = 139,166,525,446.86/420,866.92
  6. Step 6: Final answer
    x = 330,666.34

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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.