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Finding the Fourth Proportional to 414,830.76, 622,107.78 and 162,045.72

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Solution

The fourth proportional to 414,830.76, 622,107.78 and 162,045.72 is: 243,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,830.76 : 622,107.78 = 162,045.72 : x
  2. Step 2: Convert to fraction form
    414,830.76/622,107.78 = 162,045.72/x
  3. Step 3: Cross multiply
    414,830.76x = 622,107.78 × 162,045.72
  4. Step 4: Simplify right side
    414,830.76x = 100,809,903,127.70
  5. Step 5: Solve for x
    x = 100,809,903,127.70/414,830.76
  6. Step 6: Final answer
    x = 243,014.53

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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.