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Finding the Fourth Proportional to 291,717.99, 402,570.78 and 164,398.14

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Solution

The fourth proportional to 291,717.99, 402,570.78 and 164,398.14 is: 226,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,717.99 : 402,570.78 = 164,398.14 : x
  2. Step 2: Convert to fraction form
    291,717.99/402,570.78 = 164,398.14/x
  3. Step 3: Cross multiply
    291,717.99x = 402,570.78 × 164,398.14
  4. Step 4: Simplify right side
    291,717.99x = 66,181,887,450.35
  5. Step 5: Solve for x
    x = 66,181,887,450.35/291,717.99
  6. Step 6: Final answer
    x = 226,869.41

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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.