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Finding the Fourth Proportional to 293,659.62, 405,153.90 and 164,579.28

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Solution

The fourth proportional to 293,659.62, 405,153.90 and 164,579.28 is: 227,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,659.62 : 405,153.90 = 164,579.28 : x
  2. Step 2: Convert to fraction form
    293,659.62/405,153.90 = 164,579.28/x
  3. Step 3: Cross multiply
    293,659.62x = 405,153.90 × 164,579.28
  4. Step 4: Simplify right side
    293,659.62x = 66,679,937,151.19
  5. Step 5: Solve for x
    x = 66,679,937,151.19/293,659.62
  6. Step 6: Final answer
    x = 227,065.39

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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.