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Finding the Fourth Proportional to 313,055.52, 469,583.24 and 146,843.52

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Solution

The fourth proportional to 313,055.52, 469,583.24 and 146,843.52 is: 220,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,055.52 : 469,583.24 = 146,843.52 : x
  2. Step 2: Convert to fraction form
    313,055.52/469,583.24 = 146,843.52/x
  3. Step 3: Cross multiply
    313,055.52x = 469,583.24 × 146,843.52
  4. Step 4: Simplify right side
    313,055.52x = 68,955,255,894.60
  5. Step 5: Solve for x
    x = 68,955,255,894.60/313,055.52
  6. Step 6: Final answer
    x = 220,265.26

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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.