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Finding the Fourth Proportional to 401,216.29, 601,825.34 and 101,696.92

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Solution

The fourth proportional to 401,216.29, 601,825.34 and 101,696.92 is: 152,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,216.29 : 601,825.34 = 101,696.92 : x
  2. Step 2: Convert to fraction form
    401,216.29/601,825.34 = 101,696.92/x
  3. Step 3: Cross multiply
    401,216.29x = 601,825.34 × 101,696.92
  4. Step 4: Simplify right side
    401,216.29x = 61,203,782,205.63
  5. Step 5: Solve for x
    x = 61,203,782,205.63/401,216.29
  6. Step 6: Final answer
    x = 152,545.61

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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.