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Finding the Fourth Proportional to 295,297.80, 442,946.70 and 205,096.20

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Solution

The fourth proportional to 295,297.80, 442,946.70 and 205,096.20 is: 307,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,297.80 : 442,946.70 = 205,096.20 : x
  2. Step 2: Convert to fraction form
    295,297.80/442,946.70 = 205,096.20/x
  3. Step 3: Cross multiply
    295,297.80x = 442,946.70 × 205,096.20
  4. Step 4: Simplify right side
    295,297.80x = 90,846,684,972.54
  5. Step 5: Solve for x
    x = 90,846,684,972.54/295,297.80
  6. Step 6: Final answer
    x = 307,644.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.