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Finding the Fourth Proportional to 312,224.64, 468,336.05 and 122,552.28

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Solution

The fourth proportional to 312,224.64, 468,336.05 and 122,552.28 is: 183,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,224.64 : 468,336.05 = 122,552.28 : x
  2. Step 2: Convert to fraction form
    312,224.64/468,336.05 = 122,552.28/x
  3. Step 3: Cross multiply
    312,224.64x = 468,336.05 × 122,552.28
  4. Step 4: Simplify right side
    312,224.64x = 57,395,650,733.69
  5. Step 5: Solve for x
    x = 57,395,650,733.69/312,224.64
  6. Step 6: Final answer
    x = 183,828.06

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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.