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Finding the Fourth Proportional to 414,698.40, 622,065.36 and 144,853.92

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Solution

The fourth proportional to 414,698.40, 622,065.36 and 144,853.92 is: 217,287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,698.40 : 622,065.36 = 144,853.92 : x
  2. Step 2: Convert to fraction form
    414,698.40/622,065.36 = 144,853.92/x
  3. Step 3: Cross multiply
    414,698.40x = 622,065.36 × 144,853.92
  4. Step 4: Simplify right side
    414,698.40x = 90,108,605,892.21
  5. Step 5: Solve for x
    x = 90,108,605,892.21/414,698.40
  6. Step 6: Final answer
    x = 217,287.08

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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.