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Finding the Fourth Proportional to 293,663.68, 405,284.44 and 164,624.08

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Solution

The fourth proportional to 293,663.68, 405,284.44 and 164,624.08 is: 227,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,663.68 : 405,284.44 = 164,624.08 : x
  2. Step 2: Convert to fraction form
    293,663.68/405,284.44 = 164,624.08/x
  3. Step 3: Cross multiply
    293,663.68x = 405,284.44 × 164,624.08
  4. Step 4: Simplify right side
    293,663.68x = 66,719,578,073.32
  5. Step 5: Solve for x
    x = 66,719,578,073.32/293,663.68
  6. Step 6: Final answer
    x = 227,197.24

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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.