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Finding the Fourth Proportional to 294,460.56, 406,252.05 and 192,545.66

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Solution

The fourth proportional to 294,460.56, 406,252.05 and 192,545.66 is: 265,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,460.56 : 406,252.05 = 192,545.66 : x
  2. Step 2: Convert to fraction form
    294,460.56/406,252.05 = 192,545.66/x
  3. Step 3: Cross multiply
    294,460.56x = 406,252.05 × 192,545.66
  4. Step 4: Simplify right side
    294,460.56x = 78,222,067,062.34
  5. Step 5: Solve for x
    x = 78,222,067,062.34/294,460.56
  6. Step 6: Final answer
    x = 265,645.31

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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.