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Finding the Fourth Proportional to 401,772.84, 602,661.69 and 135,535.97

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Solution

The fourth proportional to 401,772.84, 602,661.69 and 135,535.97 is: 203,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,772.84 : 602,661.69 = 135,535.97 : x
  2. Step 2: Convert to fraction form
    401,772.84/602,661.69 = 135,535.97/x
  3. Step 3: Cross multiply
    401,772.84x = 602,661.69 × 135,535.97
  4. Step 4: Simplify right side
    401,772.84x = 81,682,333,722.68
  5. Step 5: Solve for x
    x = 81,682,333,722.68/401,772.84
  6. Step 6: Final answer
    x = 203,304.77

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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.