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Finding the Fourth Proportional to 277,731.60, 416,597.40 and 253,237.20

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Solution

The fourth proportional to 277,731.60, 416,597.40 and 253,237.20 is: 379,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,731.60 : 416,597.40 = 253,237.20 : x
  2. Step 2: Convert to fraction form
    277,731.60/416,597.40 = 253,237.20/x
  3. Step 3: Cross multiply
    277,731.60x = 416,597.40 × 253,237.20
  4. Step 4: Simplify right side
    277,731.60x = 105,497,959,103.28
  5. Step 5: Solve for x
    x = 105,497,959,103.28/277,731.60
  6. Step 6: Final answer
    x = 379,855.80

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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.