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Finding the Fourth Proportional to 293,510.85, 405,054.99 and 164,454.72

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Solution

The fourth proportional to 293,510.85, 405,054.99 and 164,454.72 is: 226,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,510.85 : 405,054.99 = 164,454.72 : x
  2. Step 2: Convert to fraction form
    293,510.85/405,054.99 = 164,454.72/x
  3. Step 3: Cross multiply
    293,510.85x = 405,054.99 × 164,454.72
  4. Step 4: Simplify right side
    293,510.85x = 66,613,204,965.05
  5. Step 5: Solve for x
    x = 66,613,204,965.05/293,510.85
  6. Step 6: Final answer
    x = 226,953.13

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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.