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Finding the Fourth Proportional to 296,333.50, 408,940.20 and 160,367.44

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Solution

The fourth proportional to 296,333.50, 408,940.20 and 160,367.44 is: 221,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,333.50 : 408,940.20 = 160,367.44 : x
  2. Step 2: Convert to fraction form
    296,333.50/408,940.20 = 160,367.44/x
  3. Step 3: Cross multiply
    296,333.50x = 408,940.20 × 160,367.44
  4. Step 4: Simplify right side
    296,333.50x = 65,580,692,987.09
  5. Step 5: Solve for x
    x = 65,580,692,987.09/296,333.50
  6. Step 6: Final answer
    x = 221,307.05

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1.5x scale

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.