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Finding the Fourth Proportional to 414,925.30, 622,302.90 and 115,330.60

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Solution

The fourth proportional to 414,925.30, 622,302.90 and 115,330.60 is: 172,972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,925.30 : 622,302.90 = 115,330.60 : x
  2. Step 2: Convert to fraction form
    414,925.30/622,302.90 = 115,330.60/x
  3. Step 3: Cross multiply
    414,925.30x = 622,302.90 × 115,330.60
  4. Step 4: Simplify right side
    414,925.30x = 71,770,566,838.74
  5. Step 5: Solve for x
    x = 71,770,566,838.74/414,925.30
  6. Step 6: Final answer
    x = 172,972.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.