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Finding the Fourth Proportional to 383,431.40, 575,147.10 and 196,807.40

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Solution

The fourth proportional to 383,431.40, 575,147.10 and 196,807.40 is: 295,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,431.40 : 575,147.10 = 196,807.40 : x
  2. Step 2: Convert to fraction form
    383,431.40/575,147.10 = 196,807.40/x
  3. Step 3: Cross multiply
    383,431.40x = 575,147.10 × 196,807.40
  4. Step 4: Simplify right side
    383,431.40x = 113,193,205,368.54
  5. Step 5: Solve for x
    x = 113,193,205,368.54/383,431.40
  6. Step 6: Final answer
    x = 295,211.10

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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.