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Finding the Fourth Proportional to 297,841.76, 411,024.32 and 161,876.03

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Solution

The fourth proportional to 297,841.76, 411,024.32 and 161,876.03 is: 223,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,841.76 : 411,024.32 = 161,876.03 : x
  2. Step 2: Convert to fraction form
    297,841.76/411,024.32 = 161,876.03/x
  3. Step 3: Cross multiply
    297,841.76x = 411,024.32 × 161,876.03
  4. Step 4: Simplify right side
    297,841.76x = 66,534,985,209.59
  5. Step 5: Solve for x
    x = 66,534,985,209.59/297,841.76
  6. Step 6: Final answer
    x = 223,390.39

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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.