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Finding the Fourth Proportional to 414,792.04, 622,286.46 and 134,308.84

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Solution

The fourth proportional to 414,792.04, 622,286.46 and 134,308.84 is: 201,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,792.04 : 622,286.46 = 134,308.84 : x
  2. Step 2: Convert to fraction form
    414,792.04/622,286.46 = 134,308.84/x
  3. Step 3: Cross multiply
    414,792.04x = 622,286.46 × 134,308.84
  4. Step 4: Simplify right side
    414,792.04x = 83,578,572,590.31
  5. Step 5: Solve for x
    x = 83,578,572,590.31/414,792.04
  6. Step 6: Final answer
    x = 201,495.12

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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.