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Finding the Fourth Proportional to 383,634, 529,433.10 and 213,868.08

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Solution

The fourth proportional to 383,634, 529,433.10 and 213,868.08 is: 295,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,634 : 529,433.10 = 213,868.08 : x
  2. Step 2: Convert to fraction form
    383,634/529,433.10 = 213,868.08/x
  3. Step 3: Cross multiply
    383,634x = 529,433.10 × 213,868.08
  4. Step 4: Simplify right side
    383,634x = 113,228,840,585.45
  5. Step 5: Solve for x
    x = 113,228,840,585.45/383,634
  6. Step 6: Final answer
    x = 295,148.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.