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Finding the Fourth Proportional to 338,851.20, 467,539.20 and 204,712.32

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Solution

The fourth proportional to 338,851.20, 467,539.20 and 204,712.32 is: 282,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,851.20 : 467,539.20 = 204,712.32 : x
  2. Step 2: Convert to fraction form
    338,851.20/467,539.20 = 204,712.32/x
  3. Step 3: Cross multiply
    338,851.20x = 467,539.20 × 204,712.32
  4. Step 4: Simplify right side
    338,851.20x = 95,711,034,322.94
  5. Step 5: Solve for x
    x = 95,711,034,322.94/338,851.20
  6. Step 6: Final answer
    x = 282,457.42

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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.