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Finding the Fourth Proportional to 403,819.80, 605,729.70 and 277,848.60

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Solution

The fourth proportional to 403,819.80, 605,729.70 and 277,848.60 is: 416,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,819.80 : 605,729.70 = 277,848.60 : x
  2. Step 2: Convert to fraction form
    403,819.80/605,729.70 = 277,848.60/x
  3. Step 3: Cross multiply
    403,819.80x = 605,729.70 × 277,848.60
  4. Step 4: Simplify right side
    403,819.80x = 168,301,149,123.42
  5. Step 5: Solve for x
    x = 168,301,149,123.42/403,819.80
  6. Step 6: Final answer
    x = 416,772.90

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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.