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Finding the Fourth Proportional to 297,988.63, 411,212.98 and 162,022.69

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Solution

The fourth proportional to 297,988.63, 411,212.98 and 162,022.69 is: 223,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,988.63 : 411,212.98 = 162,022.69 : x
  2. Step 2: Convert to fraction form
    297,988.63/411,212.98 = 162,022.69/x
  3. Step 3: Cross multiply
    297,988.63x = 411,212.98 × 162,022.69
  4. Step 4: Simplify right side
    297,988.63x = 66,625,833,233.18
  5. Step 5: Solve for x
    x = 66,625,833,233.18/297,988.63
  6. Step 6: Final answer
    x = 223,585.15

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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.