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Finding the Fourth Proportional to 224,640.64, 336,922.24 and 74,864

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Solution

The fourth proportional to 224,640.64, 336,922.24 and 74,864 is: 112,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,640.64 : 336,922.24 = 74,864 : x
  2. Step 2: Convert to fraction form
    224,640.64/336,922.24 = 74,864/x
  3. Step 3: Cross multiply
    224,640.64x = 336,922.24 × 74,864
  4. Step 4: Simplify right side
    224,640.64x = 25,223,346,575.36
  5. Step 5: Solve for x
    x = 25,223,346,575.36/224,640.64
  6. Step 6: Final answer
    x = 112,283.10

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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.