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Finding the Fourth Proportional to 288,541.68, 398,208.12 and 159,477.39

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Solution

The fourth proportional to 288,541.68, 398,208.12 and 159,477.39 is: 220,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,541.68 : 398,208.12 = 159,477.39 : x
  2. Step 2: Convert to fraction form
    288,541.68/398,208.12 = 159,477.39/x
  3. Step 3: Cross multiply
    288,541.68x = 398,208.12 × 159,477.39
  4. Step 4: Simplify right side
    288,541.68x = 63,505,191,654.41
  5. Step 5: Solve for x
    x = 63,505,191,654.41/288,541.68
  6. Step 6: Final answer
    x = 220,090.18

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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.