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Finding the Fourth Proportional to 465,388.68, 642,218.58 and 284,403.36

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Solution

The fourth proportional to 465,388.68, 642,218.58 and 284,403.36 is: 392,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,388.68 : 642,218.58 = 284,403.36 : x
  2. Step 2: Convert to fraction form
    465,388.68/642,218.58 = 284,403.36/x
  3. Step 3: Cross multiply
    465,388.68x = 642,218.58 × 284,403.36
  4. Step 4: Simplify right side
    465,388.68x = 182,649,122,006.43
  5. Step 5: Solve for x
    x = 182,649,122,006.43/465,388.68
  6. Step 6: Final answer
    x = 392,465.76

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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.