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Finding the Fourth Proportional to 414,776.89, 622,263.75 and 134,294.14

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Solution

The fourth proportional to 414,776.89, 622,263.75 and 134,294.14 is: 201,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,776.89 : 622,263.75 = 134,294.14 : x
  2. Step 2: Convert to fraction form
    414,776.89/622,263.75 = 134,294.14/x
  3. Step 3: Cross multiply
    414,776.89x = 622,263.75 × 134,294.14
  4. Step 4: Simplify right side
    414,776.89x = 83,566,375,159.43
  5. Step 5: Solve for x
    x = 83,566,375,159.43/414,776.89
  6. Step 6: Final answer
    x = 201,473.07

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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.