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Finding the Fourth Proportional to 330,984.82, 456,689.37 and 216,431.38

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Solution

The fourth proportional to 330,984.82, 456,689.37 and 216,431.38 is: 298,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,984.82 : 456,689.37 = 216,431.38 : x
  2. Step 2: Convert to fraction form
    330,984.82/456,689.37 = 216,431.38/x
  3. Step 3: Cross multiply
    330,984.82x = 456,689.37 × 216,431.38
  4. Step 4: Simplify right side
    330,984.82x = 98,841,910,580.43
  5. Step 5: Solve for x
    x = 98,841,910,580.43/330,984.82
  6. Step 6: Final answer
    x = 298,629.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.