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Finding the Fourth Proportional to 294,810.56, 406,712.49 and 192,658.73

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Solution

The fourth proportional to 294,810.56, 406,712.49 and 192,658.73 is: 265,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,810.56 : 406,712.49 = 192,658.73 : x
  2. Step 2: Convert to fraction form
    294,810.56/406,712.49 = 192,658.73/x
  3. Step 3: Cross multiply
    294,810.56x = 406,712.49 × 192,658.73
  4. Step 4: Simplify right side
    294,810.56x = 78,356,711,798.54
  5. Step 5: Solve for x
    x = 78,356,711,798.54/294,810.56
  6. Step 6: Final answer
    x = 265,786.65

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1.5x scale

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.