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Finding the Fourth Proportional to 297,846.68, 411,031.56 and 161,880.66

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Solution

The fourth proportional to 297,846.68, 411,031.56 and 161,880.66 is: 223,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,846.68 : 411,031.56 = 161,880.66 : x
  2. Step 2: Convert to fraction form
    297,846.68/411,031.56 = 161,880.66/x
  3. Step 3: Cross multiply
    297,846.68x = 411,031.56 × 161,880.66
  4. Step 4: Simplify right side
    297,846.68x = 66,538,060,213.63
  5. Step 5: Solve for x
    x = 66,538,060,213.63/297,846.68
  6. Step 6: Final answer
    x = 223,397.02

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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.