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Finding the Fourth Proportional to 295,133.40, 442,034.01 and 206,781.30

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Solution

The fourth proportional to 295,133.40, 442,034.01 and 206,781.30 is: 309,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,133.40 : 442,034.01 = 206,781.30 : x
  2. Step 2: Convert to fraction form
    295,133.40/442,034.01 = 206,781.30/x
  3. Step 3: Cross multiply
    295,133.40x = 442,034.01 × 206,781.30
  4. Step 4: Simplify right side
    295,133.40x = 91,404,367,232.01
  5. Step 5: Solve for x
    x = 91,404,367,232.01/295,133.40
  6. Step 6: Final answer
    x = 309,705.26

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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.