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Finding the Fourth Proportional to 294,901.81, 406,959.62 and 164,074.41

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Solution

The fourth proportional to 294,901.81, 406,959.62 and 164,074.41 is: 226,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,901.81 : 406,959.62 = 164,074.41 : x
  2. Step 2: Convert to fraction form
    294,901.81/406,959.62 = 164,074.41/x
  3. Step 3: Cross multiply
    294,901.81x = 406,959.62 × 164,074.41
  4. Step 4: Simplify right side
    294,901.81x = 66,771,659,186.41
  5. Step 5: Solve for x
    x = 66,771,659,186.41/294,901.81
  6. Step 6: Final answer
    x = 226,419.97

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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.