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Finding the Fourth Proportional to 465,424.96, 642,289.02 and 261,484.48

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Solution

The fourth proportional to 465,424.96, 642,289.02 and 261,484.48 is: 360,850.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,424.96 : 642,289.02 = 261,484.48 : x
  2. Step 2: Convert to fraction form
    465,424.96/642,289.02 = 261,484.48/x
  3. Step 3: Cross multiply
    465,424.96x = 642,289.02 × 261,484.48
  4. Step 4: Simplify right side
    465,424.96x = 167,948,610,404.41
  5. Step 5: Solve for x
    x = 167,948,610,404.41/465,424.96
  6. Step 6: Final answer
    x = 360,850.03

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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.