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Finding the Fourth Proportional to 404,544.46, 606,640.20 and 214,959.10

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Solution

The fourth proportional to 404,544.46, 606,640.20 and 214,959.10 is: 322,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,544.46 : 606,640.20 = 214,959.10 : x
  2. Step 2: Convert to fraction form
    404,544.46/606,640.20 = 214,959.10/x
  3. Step 3: Cross multiply
    404,544.46x = 606,640.20 × 214,959.10
  4. Step 4: Simplify right side
    404,544.46x = 130,402,831,415.82
  5. Step 5: Solve for x
    x = 130,402,831,415.82/404,544.46
  6. Step 6: Final answer
    x = 322,344.87

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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.