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Finding the Fourth Proportional to 296,220.44, 408,782.50 and 160,253.98

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Solution

The fourth proportional to 296,220.44, 408,782.50 and 160,253.98 is: 221,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,220.44 : 408,782.50 = 160,253.98 : x
  2. Step 2: Convert to fraction form
    296,220.44/408,782.50 = 160,253.98/x
  3. Step 3: Cross multiply
    296,220.44x = 408,782.50 × 160,253.98
  4. Step 4: Simplify right side
    296,220.44x = 65,509,022,579.35
  5. Step 5: Solve for x
    x = 65,509,022,579.35/296,220.44
  6. Step 6: Final answer
    x = 221,149.57

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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.