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Finding the Fourth Proportional to 338,661.83, 467,358.57 and 185,713.98

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Solution

The fourth proportional to 338,661.83, 467,358.57 and 185,713.98 is: 256,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,661.83 : 467,358.57 = 185,713.98 : x
  2. Step 2: Convert to fraction form
    338,661.83/467,358.57 = 185,713.98/x
  3. Step 3: Cross multiply
    338,661.83x = 467,358.57 × 185,713.98
  4. Step 4: Simplify right side
    338,661.83x = 86,795,020,121.81
  5. Step 5: Solve for x
    x = 86,795,020,121.81/338,661.83
  6. Step 6: Final answer
    x = 256,288.17

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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.