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Finding the Fourth Proportional to 296,449.91, 409,100.78 and 160,483.76

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Solution

The fourth proportional to 296,449.91, 409,100.78 and 160,483.76 is: 221,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,449.91 : 409,100.78 = 160,483.76 : x
  2. Step 2: Convert to fraction form
    296,449.91/409,100.78 = 160,483.76/x
  3. Step 3: Cross multiply
    296,449.91x = 409,100.78 × 160,483.76
  4. Step 4: Simplify right side
    296,449.91x = 65,654,028,545.41
  5. Step 5: Solve for x
    x = 65,654,028,545.41/296,449.91
  6. Step 6: Final answer
    x = 221,467.53

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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.