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Finding the Fourth Proportional to 293,194.74, 404,652.16 and 185,774.77

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Solution

The fourth proportional to 293,194.74, 404,652.16 and 185,774.77 is: 256,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,194.74 : 404,652.16 = 185,774.77 : x
  2. Step 2: Convert to fraction form
    293,194.74/404,652.16 = 185,774.77/x
  3. Step 3: Cross multiply
    293,194.74x = 404,652.16 × 185,774.77
  4. Step 4: Simplify right side
    293,194.74x = 75,174,159,001.87
  5. Step 5: Solve for x
    x = 75,174,159,001.87/293,194.74
  6. Step 6: Final answer
    x = 256,396.68

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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.