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Finding the Fourth Proportional to 415,745.36, 623,612.57 and 100,199.53

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Solution

The fourth proportional to 415,745.36, 623,612.57 and 100,199.53 is: 150,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,745.36 : 623,612.57 = 100,199.53 : x
  2. Step 2: Convert to fraction form
    415,745.36/623,612.57 = 100,199.53/x
  3. Step 3: Cross multiply
    415,745.36x = 623,612.57 × 100,199.53
  4. Step 4: Simplify right side
    415,745.36x = 62,485,687,258.23
  5. Step 5: Solve for x
    x = 62,485,687,258.23/415,745.36
  6. Step 6: Final answer
    x = 150,297.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.