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Finding the Fourth Proportional to 296,152.48, 408,690 and 162,016.48

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Solution

The fourth proportional to 296,152.48, 408,690 and 162,016.48 is: 223,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,152.48 : 408,690 = 162,016.48 : x
  2. Step 2: Convert to fraction form
    296,152.48/408,690 = 162,016.48/x
  3. Step 3: Cross multiply
    296,152.48x = 408,690 × 162,016.48
  4. Step 4: Simplify right side
    296,152.48x = 66,214,515,211.20
  5. Step 5: Solve for x
    x = 66,214,515,211.20/296,152.48
  6. Step 6: Final answer
    x = 223,582.51

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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.