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Finding the Fourth Proportional to 341,347.30, 471,054.94 and 196,151.35

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Solution

The fourth proportional to 341,347.30, 471,054.94 and 196,151.35 is: 270,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,347.30 : 471,054.94 = 196,151.35 : x
  2. Step 2: Convert to fraction form
    341,347.30/471,054.94 = 196,151.35/x
  3. Step 3: Cross multiply
    341,347.30x = 471,054.94 × 196,151.35
  4. Step 4: Simplify right side
    341,347.30x = 92,398,060,778.26
  5. Step 5: Solve for x
    x = 92,398,060,778.26/341,347.30
  6. Step 6: Final answer
    x = 270,686.37

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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.