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Finding the Fourth Proportional to 296,083.89, 408,599.01 and 160,120.44

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Solution

The fourth proportional to 296,083.89, 408,599.01 and 160,120.44 is: 220,967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,083.89 : 408,599.01 = 160,120.44 : x
  2. Step 2: Convert to fraction form
    296,083.89/408,599.01 = 160,120.44/x
  3. Step 3: Cross multiply
    296,083.89x = 408,599.01 × 160,120.44
  4. Step 4: Simplify right side
    296,083.89x = 65,425,053,264.76
  5. Step 5: Solve for x
    x = 65,425,053,264.76/296,083.89
  6. Step 6: Final answer
    x = 220,967.96

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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.