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Finding the Fourth Proportional to 297,603.14, 410,695.35 and 161,638.40

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Solution

The fourth proportional to 297,603.14, 410,695.35 and 161,638.40 is: 223,062.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,603.14 : 410,695.35 = 161,638.40 : x
  2. Step 2: Convert to fraction form
    297,603.14/410,695.35 = 161,638.40/x
  3. Step 3: Cross multiply
    297,603.14x = 410,695.35 × 161,638.40
  4. Step 4: Simplify right side
    297,603.14x = 66,384,139,261.44
  5. Step 5: Solve for x
    x = 66,384,139,261.44/297,603.14
  6. Step 6: Final answer
    x = 223,062.63

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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.