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Finding the Fourth Proportional to 296,250, 408,825 and 162,114

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Solution

The fourth proportional to 296,250, 408,825 and 162,114 is: 223,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,250 : 408,825 = 162,114 : x
  2. Step 2: Convert to fraction form
    296,250/408,825 = 162,114/x
  3. Step 3: Cross multiply
    296,250x = 408,825 × 162,114
  4. Step 4: Simplify right side
    296,250x = 66,276,256,050
  5. Step 5: Solve for x
    x = 66,276,256,050/296,250
  6. Step 6: Final answer
    x = 223,717.32

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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.