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Finding the Fourth Proportional to 378,373.25, 522,156.17 and 206,293.07

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Solution

The fourth proportional to 378,373.25, 522,156.17 and 206,293.07 is: 284,685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,373.25 : 522,156.17 = 206,293.07 : x
  2. Step 2: Convert to fraction form
    378,373.25/522,156.17 = 206,293.07/x
  3. Step 3: Cross multiply
    378,373.25x = 522,156.17 × 206,293.07
  4. Step 4: Simplify right side
    378,373.25x = 107,717,199,328.74
  5. Step 5: Solve for x
    x = 107,717,199,328.74/378,373.25
  6. Step 6: Final answer
    x = 284,685.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.