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Finding the Fourth Proportional to 467,828.56, 701,797.68 and 164,129.84

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Solution

The fourth proportional to 467,828.56, 701,797.68 and 164,129.84 is: 246,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,828.56 : 701,797.68 = 164,129.84 : x
  2. Step 2: Convert to fraction form
    467,828.56/701,797.68 = 164,129.84/x
  3. Step 3: Cross multiply
    467,828.56x = 701,797.68 × 164,129.84
  4. Step 4: Simplify right side
    467,828.56x = 115,185,940,930.77
  5. Step 5: Solve for x
    x = 115,185,940,930.77/467,828.56
  6. Step 6: Final answer
    x = 246,214.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.