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Finding the Fourth Proportional to 277,648.02, 416,035.70 and 214,622.64

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Solution

The fourth proportional to 277,648.02, 416,035.70 and 214,622.64 is: 321,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,648.02 : 416,035.70 = 214,622.64 : x
  2. Step 2: Convert to fraction form
    277,648.02/416,035.70 = 214,622.64/x
  3. Step 3: Cross multiply
    277,648.02x = 416,035.70 × 214,622.64
  4. Step 4: Simplify right side
    277,648.02x = 89,290,680,268.25
  5. Step 5: Solve for x
    x = 89,290,680,268.25/277,648.02
  6. Step 6: Final answer
    x = 321,596.68

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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.