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Finding the Fourth Proportional to 414,569.40, 622,007.70 and 165,430.20

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Solution

The fourth proportional to 414,569.40, 622,007.70 and 165,430.20 is: 248,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,569.40 : 622,007.70 = 165,430.20 : x
  2. Step 2: Convert to fraction form
    414,569.40/622,007.70 = 165,430.20/x
  3. Step 3: Cross multiply
    414,569.40x = 622,007.70 × 165,430.20
  4. Step 4: Simplify right side
    414,569.40x = 102,898,858,212.54
  5. Step 5: Solve for x
    x = 102,898,858,212.54/414,569.40
  6. Step 6: Final answer
    x = 248,206.59

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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.