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Finding the Fourth Proportional to 383,634.42, 575,050.32 and 130,826.40

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Solution

The fourth proportional to 383,634.42, 575,050.32 and 130,826.40 is: 196,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,634.42 : 575,050.32 = 130,826.40 : x
  2. Step 2: Convert to fraction form
    383,634.42/575,050.32 = 130,826.40/x
  3. Step 3: Cross multiply
    383,634.42x = 575,050.32 × 130,826.40
  4. Step 4: Simplify right side
    383,634.42x = 75,231,763,184.45
  5. Step 5: Solve for x
    x = 75,231,763,184.45/383,634.42
  6. Step 6: Final answer
    x = 196,102.75

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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.