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Finding the Fourth Proportional to 478,072.94, 717,102.92 and 162,749.66

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Solution

The fourth proportional to 478,072.94, 717,102.92 and 162,749.66 is: 244,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,072.94 : 717,102.92 = 162,749.66 : x
  2. Step 2: Convert to fraction form
    478,072.94/717,102.92 = 162,749.66/x
  3. Step 3: Cross multiply
    478,072.94x = 717,102.92 × 162,749.66
  4. Step 4: Simplify right side
    478,072.94x = 116,708,253,236.37
  5. Step 5: Solve for x
    x = 116,708,253,236.37/478,072.94
  6. Step 6: Final answer
    x = 244,122.28

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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.