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Finding the Fourth Proportional to 345,881.92, 477,294.24 and 194,975.68

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Solution

The fourth proportional to 345,881.92, 477,294.24 and 194,975.68 is: 269,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,881.92 : 477,294.24 = 194,975.68 : x
  2. Step 2: Convert to fraction form
    345,881.92/477,294.24 = 194,975.68/x
  3. Step 3: Cross multiply
    345,881.92x = 477,294.24 × 194,975.68
  4. Step 4: Simplify right side
    345,881.92x = 93,060,769,004.08
  5. Step 5: Solve for x
    x = 93,060,769,004.08/345,881.92
  6. Step 6: Final answer
    x = 269,053.58

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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.