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Finding the Fourth Proportional to 455,325.81, 682,869.66 and 135,391.51

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Solution

The fourth proportional to 455,325.81, 682,869.66 and 135,391.51 is: 203,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,325.81 : 682,869.66 = 135,391.51 : x
  2. Step 2: Convert to fraction form
    455,325.81/682,869.66 = 135,391.51/x
  3. Step 3: Cross multiply
    455,325.81x = 682,869.66 × 135,391.51
  4. Step 4: Simplify right side
    455,325.81x = 92,454,754,400.59
  5. Step 5: Solve for x
    x = 92,454,754,400.59/455,325.81
  6. Step 6: Final answer
    x = 203,051.86

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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.