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Finding the Fourth Proportional to 293,202.61, 404,616.87 and 165,878.20

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Solution

The fourth proportional to 293,202.61, 404,616.87 and 165,878.20 is: 228,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,202.61 : 404,616.87 = 165,878.20 : x
  2. Step 2: Convert to fraction form
    293,202.61/404,616.87 = 165,878.20/x
  3. Step 3: Cross multiply
    293,202.61x = 404,616.87 × 165,878.20
  4. Step 4: Simplify right side
    293,202.61x = 67,117,118,085.23
  5. Step 5: Solve for x
    x = 67,117,118,085.23/293,202.61
  6. Step 6: Final answer
    x = 228,910.37

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1.5x scale

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.