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Finding the Fourth Proportional to 277,321.60, 415,982.40 and 266,435.20

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Solution

The fourth proportional to 277,321.60, 415,982.40 and 266,435.20 is: 399,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,321.60 : 415,982.40 = 266,435.20 : x
  2. Step 2: Convert to fraction form
    277,321.60/415,982.40 = 266,435.20/x
  3. Step 3: Cross multiply
    277,321.60x = 415,982.40 × 266,435.20
  4. Step 4: Simplify right side
    277,321.60x = 110,832,353,940.48
  5. Step 5: Solve for x
    x = 110,832,353,940.48/277,321.60
  6. Step 6: Final answer
    x = 399,652.80

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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.