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Finding the Fourth Proportional to 293,019.50, 404,387.16 and 165,695.60

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Solution

The fourth proportional to 293,019.50, 404,387.16 and 165,695.60 is: 228,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,019.50 : 404,387.16 = 165,695.60 : x
  2. Step 2: Convert to fraction form
    293,019.50/404,387.16 = 165,695.60/x
  3. Step 3: Cross multiply
    293,019.50x = 404,387.16 × 165,695.60
  4. Step 4: Simplify right side
    293,019.50x = 67,005,173,108.50
  5. Step 5: Solve for x
    x = 67,005,173,108.50/293,019.50
  6. Step 6: Final answer
    x = 228,671.38

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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.