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Finding the Fourth Proportional to 293,871.69, 405,567.09 and 164,807.69

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Solution

The fourth proportional to 293,871.69, 405,567.09 and 164,807.69 is: 227,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,871.69 : 405,567.09 = 164,807.69 : x
  2. Step 2: Convert to fraction form
    293,871.69/405,567.09 = 164,807.69/x
  3. Step 3: Cross multiply
    293,871.69x = 405,567.09 × 164,807.69
  4. Step 4: Simplify right side
    293,871.69x = 66,840,573,215.09
  5. Step 5: Solve for x
    x = 66,840,573,215.09/293,871.69
  6. Step 6: Final answer
    x = 227,448.15

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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.