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Finding the Fourth Proportional to 296,823.40, 409,615.38 and 160,861.24

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Solution

The fourth proportional to 296,823.40, 409,615.38 and 160,861.24 is: 221,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,823.40 : 409,615.38 = 160,861.24 : x
  2. Step 2: Convert to fraction form
    296,823.40/409,615.38 = 160,861.24/x
  3. Step 3: Cross multiply
    296,823.40x = 409,615.38 × 160,861.24
  4. Step 4: Simplify right side
    296,823.40x = 65,891,237,949.87
  5. Step 5: Solve for x
    x = 65,891,237,949.87/296,823.40
  6. Step 6: Final answer
    x = 221,988.02

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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.