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Finding the Fourth Proportional to 411,032.81, 616,535.32 and 144,786.37

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Solution

The fourth proportional to 411,032.81, 616,535.32 and 144,786.37 is: 217,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,032.81 : 616,535.32 = 144,786.37 : x
  2. Step 2: Convert to fraction form
    411,032.81/616,535.32 = 144,786.37/x
  3. Step 3: Cross multiply
    411,032.81x = 616,535.32 × 144,786.37
  4. Step 4: Simplify right side
    411,032.81x = 89,265,907,152.98
  5. Step 5: Solve for x
    x = 89,265,907,152.98/411,032.81
  6. Step 6: Final answer
    x = 217,174.65

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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.