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Finding the Fourth Proportional to 296,604.70, 409,314.12 and 160,638.56

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Solution

The fourth proportional to 296,604.70, 409,314.12 and 160,638.56 is: 221,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,604.70 : 409,314.12 = 160,638.56 : x
  2. Step 2: Convert to fraction form
    296,604.70/409,314.12 = 160,638.56/x
  3. Step 3: Cross multiply
    296,604.70x = 409,314.12 × 160,638.56
  4. Step 4: Simplify right side
    296,604.70x = 65,751,630,824.47
  5. Step 5: Solve for x
    x = 65,751,630,824.47/296,604.70
  6. Step 6: Final answer
    x = 221,681.02

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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.