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Finding the Fourth Proportional to 338,923.56, 467,698.64 and 185,958.30

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Solution

The fourth proportional to 338,923.56, 467,698.64 and 185,958.30 is: 256,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,923.56 : 467,698.64 = 185,958.30 : x
  2. Step 2: Convert to fraction form
    338,923.56/467,698.64 = 185,958.30/x
  3. Step 3: Cross multiply
    338,923.56x = 467,698.64 × 185,958.30
  4. Step 4: Simplify right side
    338,923.56x = 86,972,444,006.71
  5. Step 5: Solve for x
    x = 86,972,444,006.71/338,923.56
  6. Step 6: Final answer
    x = 256,613.75

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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.