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Finding the Fourth Proportional to 420,665.28, 580,532.64 and 239,404.32

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Solution

The fourth proportional to 420,665.28, 580,532.64 and 239,404.32 is: 330,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,665.28 : 580,532.64 = 239,404.32 : x
  2. Step 2: Convert to fraction form
    420,665.28/580,532.64 = 239,404.32/x
  3. Step 3: Cross multiply
    420,665.28x = 580,532.64 × 239,404.32
  4. Step 4: Simplify right side
    420,665.28x = 138,982,021,917.01
  5. Step 5: Solve for x
    x = 138,982,021,917.01/420,665.28
  6. Step 6: Final answer
    x = 330,386.24

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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.