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Finding the Fourth Proportional to 345,168.84, 476,296.34 and 194,263.24

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Solution

The fourth proportional to 345,168.84, 476,296.34 and 194,263.24 is: 268,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,168.84 : 476,296.34 = 194,263.24 : x
  2. Step 2: Convert to fraction form
    345,168.84/476,296.34 = 194,263.24/x
  3. Step 3: Cross multiply
    345,168.84x = 476,296.34 × 194,263.24
  4. Step 4: Simplify right side
    345,168.84x = 92,526,870,208.54
  5. Step 5: Solve for x
    x = 92,526,870,208.54/345,168.84
  6. Step 6: Final answer
    x = 268,062.64

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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.