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Finding the Fourth Proportional to 344,967.28, 476,054.11 and 194,064.28

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Solution

The fourth proportional to 344,967.28, 476,054.11 and 194,064.28 is: 267,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,967.28 : 476,054.11 = 194,064.28 : x
  2. Step 2: Convert to fraction form
    344,967.28/476,054.11 = 194,064.28/x
  3. Step 3: Cross multiply
    344,967.28x = 476,054.11 × 194,064.28
  4. Step 4: Simplify right side
    344,967.28x = 92,385,098,098.19
  5. Step 5: Solve for x
    x = 92,385,098,098.19/344,967.28
  6. Step 6: Final answer
    x = 267,808.29

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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.