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Finding the Fourth Proportional to 294,429.38, 406,318.01 and 167,113.17

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Solution

The fourth proportional to 294,429.38, 406,318.01 and 167,113.17 is: 230,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,429.38 : 406,318.01 = 167,113.17 : x
  2. Step 2: Convert to fraction form
    294,429.38/406,318.01 = 167,113.17/x
  3. Step 3: Cross multiply
    294,429.38x = 406,318.01 × 167,113.17
  4. Step 4: Simplify right side
    294,429.38x = 67,901,089,843.63
  5. Step 5: Solve for x
    x = 67,901,089,843.63/294,429.38
  6. Step 6: Final answer
    x = 230,619.28

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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.