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Finding the Fourth Proportional to 383,757.44, 575,637.50 and 117,516.78

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Solution

The fourth proportional to 383,757.44, 575,637.50 and 117,516.78 is: 176,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,757.44 : 575,637.50 = 117,516.78 : x
  2. Step 2: Convert to fraction form
    383,757.44/575,637.50 = 117,516.78/x
  3. Step 3: Cross multiply
    383,757.44x = 575,637.50 × 117,516.78
  4. Step 4: Simplify right side
    383,757.44x = 67,647,065,741.04
  5. Step 5: Solve for x
    x = 67,647,065,741.04/383,757.44
  6. Step 6: Final answer
    x = 176,275.58

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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.