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Finding the Fourth Proportional to 345,857.52, 477,290.68 and 194,954.48

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Solution

The fourth proportional to 345,857.52, 477,290.68 and 194,954.48 is: 269,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,857.52 : 477,290.68 = 194,954.48 : x
  2. Step 2: Convert to fraction form
    345,857.52/477,290.68 = 194,954.48/x
  3. Step 3: Cross multiply
    345,857.52x = 477,290.68 × 194,954.48
  4. Step 4: Simplify right side
    345,857.52x = 93,049,956,328.25
  5. Step 5: Solve for x
    x = 93,049,956,328.25/345,857.52
  6. Step 6: Final answer
    x = 269,041.30

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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.