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Finding the Fourth Proportional to 414,871.80, 622,307.70 and 134,417.40

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Solution

The fourth proportional to 414,871.80, 622,307.70 and 134,417.40 is: 201,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,871.80 : 622,307.70 = 134,417.40 : x
  2. Step 2: Convert to fraction form
    414,871.80/622,307.70 = 134,417.40/x
  3. Step 3: Cross multiply
    414,871.80x = 622,307.70 × 134,417.40
  4. Step 4: Simplify right side
    414,871.80x = 83,648,983,033.98
  5. Step 5: Solve for x
    x = 83,648,983,033.98/414,871.80
  6. Step 6: Final answer
    x = 201,626.10

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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.