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Finding the Fourth Proportional to 296,222.76, 408,797.70 and 162,099.24

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Solution

The fourth proportional to 296,222.76, 408,797.70 and 162,099.24 is: 223,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,222.76 : 408,797.70 = 162,099.24 : x
  2. Step 2: Convert to fraction form
    296,222.76/408,797.70 = 162,099.24/x
  3. Step 3: Cross multiply
    296,222.76x = 408,797.70 × 162,099.24
  4. Step 4: Simplify right side
    296,222.76x = 66,265,796,483.75
  5. Step 5: Solve for x
    x = 66,265,796,483.75/296,222.76
  6. Step 6: Final answer
    x = 223,702.58

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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.