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Finding the Fourth Proportional to 414,769.80, 622,154.70 and 134,315.40

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Solution

The fourth proportional to 414,769.80, 622,154.70 and 134,315.40 is: 201,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,769.80 : 622,154.70 = 134,315.40 : x
  2. Step 2: Convert to fraction form
    414,769.80/622,154.70 = 134,315.40/x
  3. Step 3: Cross multiply
    414,769.80x = 622,154.70 × 134,315.40
  4. Step 4: Simplify right side
    414,769.80x = 83,564,957,392.38
  5. Step 5: Solve for x
    x = 83,564,957,392.38/414,769.80
  6. Step 6: Final answer
    x = 201,473.10

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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.