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Finding the Fourth Proportional to 345,894.08, 477,333.82 and 194,991.08

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Solution

The fourth proportional to 345,894.08, 477,333.82 and 194,991.08 is: 269,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,894.08 : 477,333.82 = 194,991.08 : x
  2. Step 2: Convert to fraction form
    345,894.08/477,333.82 = 194,991.08/x
  3. Step 3: Cross multiply
    345,894.08x = 477,333.82 × 194,991.08
  4. Step 4: Simplify right side
    345,894.08x = 93,075,837,082.33
  5. Step 5: Solve for x
    x = 93,075,837,082.33/345,894.08
  6. Step 6: Final answer
    x = 269,087.68

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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.