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Finding the Fourth Proportional to 292,979.36, 404,319.48 and 165,674

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Solution

The fourth proportional to 292,979.36, 404,319.48 and 165,674 is: 228,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,979.36 : 404,319.48 = 165,674 : x
  2. Step 2: Convert to fraction form
    292,979.36/404,319.48 = 165,674/x
  3. Step 3: Cross multiply
    292,979.36x = 404,319.48 × 165,674
  4. Step 4: Simplify right side
    292,979.36x = 66,985,225,529.52
  5. Step 5: Solve for x
    x = 66,985,225,529.52/292,979.36
  6. Step 6: Final answer
    x = 228,634.62

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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.