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Finding the Fourth Proportional to 356,791.26, 492,386.86 and 195,652.50

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Solution

The fourth proportional to 356,791.26, 492,386.86 and 195,652.50 is: 270,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,791.26 : 492,386.86 = 195,652.50 : x
  2. Step 2: Convert to fraction form
    356,791.26/492,386.86 = 195,652.50/x
  3. Step 3: Cross multiply
    356,791.26x = 492,386.86 × 195,652.50
  4. Step 4: Simplify right side
    356,791.26x = 96,336,720,126.15
  5. Step 5: Solve for x
    x = 96,336,720,126.15/356,791.26
  6. Step 6: Final answer
    x = 270,008.63

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Why These Related Problems?

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