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Finding the Fourth Proportional to 383,452.42, 575,180.12 and 117,211.90

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Solution

The fourth proportional to 383,452.42, 575,180.12 and 117,211.90 is: 175,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,452.42 : 575,180.12 = 117,211.90 : x
  2. Step 2: Convert to fraction form
    383,452.42/575,180.12 = 117,211.90/x
  3. Step 3: Cross multiply
    383,452.42x = 575,180.12 × 117,211.90
  4. Step 4: Simplify right side
    383,452.42x = 67,417,954,707.43
  5. Step 5: Solve for x
    x = 67,417,954,707.43/383,452.42
  6. Step 6: Final answer
    x = 175,818.31

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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.