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Finding the Fourth Proportional to 293,479.90, 405,008.74 and 164,427.91

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Solution

The fourth proportional to 293,479.90, 405,008.74 and 164,427.91 is: 226,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,479.90 : 405,008.74 = 164,427.91 : x
  2. Step 2: Convert to fraction form
    293,479.90/405,008.74 = 164,427.91/x
  3. Step 3: Cross multiply
    293,479.90x = 405,008.74 × 164,427.91
  4. Step 4: Simplify right side
    293,479.90x = 66,594,739,842.95
  5. Step 5: Solve for x
    x = 66,594,739,842.95/293,479.90
  6. Step 6: Final answer
    x = 226,914.14

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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.