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Finding the Fourth Proportional to 414,594.96, 621,947.16 and 144,727.97

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Solution

The fourth proportional to 414,594.96, 621,947.16 and 144,727.97 is: 217,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,594.96 : 621,947.16 = 144,727.97 : x
  2. Step 2: Convert to fraction form
    414,594.96/621,947.16 = 144,727.97/x
  3. Step 3: Cross multiply
    414,594.96x = 621,947.16 × 144,727.97
  4. Step 4: Simplify right side
    414,594.96x = 90,013,146,804.33
  5. Step 5: Solve for x
    x = 90,013,146,804.33/414,594.96
  6. Step 6: Final answer
    x = 217,111.05

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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.