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Finding the Fourth Proportional to 296,621.71, 409,335.90 and 160,652.56

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Solution

The fourth proportional to 296,621.71, 409,335.90 and 160,652.56 is: 221,699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,621.71 : 409,335.90 = 160,652.56 : x
  2. Step 2: Convert to fraction form
    296,621.71/409,335.90 = 160,652.56/x
  3. Step 3: Cross multiply
    296,621.71x = 409,335.90 × 160,652.56
  4. Step 4: Simplify right side
    296,621.71x = 65,760,860,234.90
  5. Step 5: Solve for x
    x = 65,760,860,234.90/296,621.71
  6. Step 6: Final answer
    x = 221,699.42

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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.