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Finding the Fourth Proportional to 305,534.40, 458,301.60 and 206,001.60

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Solution

The fourth proportional to 305,534.40, 458,301.60 and 206,001.60 is: 309,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,534.40 : 458,301.60 = 206,001.60 : x
  2. Step 2: Convert to fraction form
    305,534.40/458,301.60 = 206,001.60/x
  3. Step 3: Cross multiply
    305,534.40x = 458,301.60 × 206,001.60
  4. Step 4: Simplify right side
    305,534.40x = 94,410,862,882.56
  5. Step 5: Solve for x
    x = 94,410,862,882.56/305,534.40
  6. Step 6: Final answer
    x = 309,002.40

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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.