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Finding the Fourth Proportional to 353,189.69, 487,398.23 and 192,044.78

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Solution

The fourth proportional to 353,189.69, 487,398.23 and 192,044.78 is: 265,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,189.69 : 487,398.23 = 192,044.78 : x
  2. Step 2: Convert to fraction form
    353,189.69/487,398.23 = 192,044.78/x
  3. Step 3: Cross multiply
    353,189.69x = 487,398.23 × 192,044.78
  4. Step 4: Simplify right side
    353,189.69x = 93,602,284,892.52
  5. Step 5: Solve for x
    x = 93,602,284,892.52/353,189.69
  6. Step 6: Final answer
    x = 265,019.87

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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.