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Finding the Fourth Proportional to 329,321.81, 454,458.18 and 186,078.77

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Solution

The fourth proportional to 329,321.81, 454,458.18 and 186,078.77 is: 256,785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,321.81 : 454,458.18 = 186,078.77 : x
  2. Step 2: Convert to fraction form
    329,321.81/454,458.18 = 186,078.77/x
  3. Step 3: Cross multiply
    329,321.81x = 454,458.18 × 186,078.77
  4. Step 4: Simplify right side
    329,321.81x = 84,565,019,150.84
  5. Step 5: Solve for x
    x = 84,565,019,150.84/329,321.81
  6. Step 6: Final answer
    x = 256,785.36

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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.