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Finding the Fourth Proportional to 272,998.40, 409,497.60 and 202,139.60

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Solution

The fourth proportional to 272,998.40, 409,497.60 and 202,139.60 is: 303,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,998.40 : 409,497.60 = 202,139.60 : x
  2. Step 2: Convert to fraction form
    272,998.40/409,497.60 = 202,139.60/x
  3. Step 3: Cross multiply
    272,998.40x = 409,497.60 × 202,139.60
  4. Step 4: Simplify right side
    272,998.40x = 82,775,681,064.96
  5. Step 5: Solve for x
    x = 82,775,681,064.96/272,998.40
  6. Step 6: Final answer
    x = 303,209.40

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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.