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Finding the Fourth Proportional to 383,182.98, 574,774.41 and 116,944.86

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Solution

The fourth proportional to 383,182.98, 574,774.41 and 116,944.86 is: 175,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,182.98 : 574,774.41 = 116,944.86 : x
  2. Step 2: Convert to fraction form
    383,182.98/574,774.41 = 116,944.86/x
  3. Step 3: Cross multiply
    383,182.98x = 574,774.41 × 116,944.86
  4. Step 4: Simplify right side
    383,182.98x = 67,216,912,909.03
  5. Step 5: Solve for x
    x = 67,216,912,909.03/383,182.98
  6. Step 6: Final answer
    x = 175,417.27

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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.