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Finding the Fourth Proportional to 294,695.12, 406,572.54 and 192,778.64

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Solution

The fourth proportional to 294,695.12, 406,572.54 and 192,778.64 is: 265,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,695.12 : 406,572.54 = 192,778.64 : x
  2. Step 2: Convert to fraction form
    294,695.12/406,572.54 = 192,778.64/x
  3. Step 3: Cross multiply
    294,695.12x = 406,572.54 × 192,778.64
  4. Step 4: Simplify right side
    294,695.12x = 78,378,501,322.55
  5. Step 5: Solve for x
    x = 78,378,501,322.55/294,695.12
  6. Step 6: Final answer
    x = 265,964.71

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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.