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Finding the Fourth Proportional to 414,798.38, 622,288.29 and 134,343.98

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Solution

The fourth proportional to 414,798.38, 622,288.29 and 134,343.98 is: 201,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,798.38 : 622,288.29 = 134,343.98 : x
  2. Step 2: Convert to fraction form
    414,798.38/622,288.29 = 134,343.98/x
  3. Step 3: Cross multiply
    414,798.38x = 622,288.29 × 134,343.98
  4. Step 4: Simplify right side
    414,798.38x = 83,600,685,585.99
  5. Step 5: Solve for x
    x = 83,600,685,585.99/414,798.38
  6. Step 6: Final answer
    x = 201,545.35

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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.