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Finding the Fourth Proportional to 297,941.52, 411,167.40 and 161,984.61

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Solution

The fourth proportional to 297,941.52, 411,167.40 and 161,984.61 is: 223,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,941.52 : 411,167.40 = 161,984.61 : x
  2. Step 2: Convert to fraction form
    297,941.52/411,167.40 = 161,984.61/x
  3. Step 3: Cross multiply
    297,941.52x = 411,167.40 × 161,984.61
  4. Step 4: Simplify right side
    297,941.52x = 66,602,790,933.71
  5. Step 5: Solve for x
    x = 66,602,790,933.71/297,941.52
  6. Step 6: Final answer
    x = 223,543.17

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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.