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Finding the Fourth Proportional to 294,379.97, 406,254.16 and 165,341.15

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Solution

The fourth proportional to 294,379.97, 406,254.16 and 165,341.15 is: 228,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,379.97 : 406,254.16 = 165,341.15 : x
  2. Step 2: Convert to fraction form
    294,379.97/406,254.16 = 165,341.15/x
  3. Step 3: Cross multiply
    294,379.97x = 406,254.16 × 165,341.15
  4. Step 4: Simplify right side
    294,379.97x = 67,170,529,240.52
  5. Step 5: Solve for x
    x = 67,170,529,240.52/294,379.97
  6. Step 6: Final answer
    x = 228,176.29

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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.