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Finding the Fourth Proportional to 330,338.20, 456,055.86 and 217,489

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Solution

The fourth proportional to 330,338.20, 456,055.86 and 217,489 is: 300,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,338.20 : 456,055.86 = 217,489 : x
  2. Step 2: Convert to fraction form
    330,338.20/456,055.86 = 217,489/x
  3. Step 3: Cross multiply
    330,338.20x = 456,055.86 × 217,489
  4. Step 4: Simplify right side
    330,338.20x = 99,187,132,935.54
  5. Step 5: Solve for x
    x = 99,187,132,935.54/330,338.20
  6. Step 6: Final answer
    x = 300,259.35

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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.