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Finding the Fourth Proportional to 297,862.85, 411,053.49 and 161,897.11

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Solution

The fourth proportional to 297,862.85, 411,053.49 and 161,897.11 is: 223,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,862.85 : 411,053.49 = 161,897.11 : x
  2. Step 2: Convert to fraction form
    297,862.85/411,053.49 = 161,897.11/x
  3. Step 3: Cross multiply
    297,862.85x = 411,053.49 × 161,897.11
  4. Step 4: Simplify right side
    297,862.85x = 66,548,371,058.78
  5. Step 5: Solve for x
    x = 66,548,371,058.78/297,862.85
  6. Step 6: Final answer
    x = 223,419.50

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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.