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Finding the Fourth Proportional to 272,277.10, 408,853.05 and 205,792.30

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Solution

The fourth proportional to 272,277.10, 408,853.05 and 205,792.30 is: 309,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,277.10 : 408,853.05 = 205,792.30 : x
  2. Step 2: Convert to fraction form
    272,277.10/408,853.05 = 205,792.30/x
  3. Step 3: Cross multiply
    272,277.10x = 408,853.05 × 205,792.30
  4. Step 4: Simplify right side
    272,277.10x = 84,138,809,521.52
  5. Step 5: Solve for x
    x = 84,138,809,521.52/272,277.10
  6. Step 6: Final answer
    x = 309,019.05

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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.