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Finding the Fourth Proportional to 315,558.92, 473,477.10 and 165,764.41

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Solution

The fourth proportional to 315,558.92, 473,477.10 and 165,764.41 is: 248,719.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,558.92 : 473,477.10 = 165,764.41 : x
  2. Step 2: Convert to fraction form
    315,558.92/473,477.10 = 165,764.41/x
  3. Step 3: Cross multiply
    315,558.92x = 473,477.10 × 165,764.41
  4. Step 4: Simplify right side
    315,558.92x = 78,485,650,324.70
  5. Step 5: Solve for x
    x = 78,485,650,324.70/315,558.92
  6. Step 6: Final answer
    x = 248,719.48

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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.