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Finding the Fourth Proportional to 467,796.68, 701,529.42 and 152,194.76

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Solution

The fourth proportional to 467,796.68, 701,529.42 and 152,194.76 is: 228,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,796.68 : 701,529.42 = 152,194.76 : x
  2. Step 2: Convert to fraction form
    467,796.68/701,529.42 = 152,194.76/x
  3. Step 3: Cross multiply
    467,796.68x = 701,529.42 × 152,194.76
  4. Step 4: Simplify right side
    467,796.68x = 106,769,101,709.84
  5. Step 5: Solve for x
    x = 106,769,101,709.84/467,796.68
  6. Step 6: Final answer
    x = 228,238.26

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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.