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Finding the Fourth Proportional to 362,098.10, 499,579.89 and 209,116.14

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Solution

The fourth proportional to 362,098.10, 499,579.89 and 209,116.14 is: 288,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,098.10 : 499,579.89 = 209,116.14 : x
  2. Step 2: Convert to fraction form
    362,098.10/499,579.89 = 209,116.14/x
  3. Step 3: Cross multiply
    362,098.10x = 499,579.89 × 209,116.14
  4. Step 4: Simplify right side
    362,098.10x = 104,470,218,218.43
  5. Step 5: Solve for x
    x = 104,470,218,218.43/362,098.10
  6. Step 6: Final answer
    x = 288,513.58

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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.