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Finding the Fourth Proportional to 297,909, 411,465.42 and 197,132.04

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Solution

The fourth proportional to 297,909, 411,465.42 and 197,132.04 is: 272,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,909 : 411,465.42 = 197,132.04 : x
  2. Step 2: Convert to fraction form
    297,909/411,465.42 = 197,132.04/x
  3. Step 3: Cross multiply
    297,909x = 411,465.42 × 197,132.04
  4. Step 4: Simplify right side
    297,909x = 81,113,017,634.06
  5. Step 5: Solve for x
    x = 81,113,017,634.06/297,909
  6. Step 6: Final answer
    x = 272,274.48

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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.