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Finding the Fourth Proportional to 345,699.44, 477,048.12 and 194,806.16

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Solution

The fourth proportional to 345,699.44, 477,048.12 and 194,806.16 is: 268,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,699.44 : 477,048.12 = 194,806.16 : x
  2. Step 2: Convert to fraction form
    345,699.44/477,048.12 = 194,806.16/x
  3. Step 3: Cross multiply
    345,699.44x = 477,048.12 × 194,806.16
  4. Step 4: Simplify right side
    345,699.44x = 92,931,912,392.42
  5. Step 5: Solve for x
    x = 92,931,912,392.42/345,699.44
  6. Step 6: Final answer
    x = 268,822.86

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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.