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Finding the Fourth Proportional to 427,314.56, 640,519.86 and 160,959.83

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Solution

The fourth proportional to 427,314.56, 640,519.86 and 160,959.83 is: 241,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,314.56 : 640,519.86 = 160,959.83 : x
  2. Step 2: Convert to fraction form
    427,314.56/640,519.86 = 160,959.83/x
  3. Step 3: Cross multiply
    427,314.56x = 640,519.86 × 160,959.83
  4. Step 4: Simplify right side
    427,314.56x = 103,097,967,777.22
  5. Step 5: Solve for x
    x = 103,097,967,777.22/427,314.56
  6. Step 6: Final answer
    x = 241,269.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.