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Finding the Fourth Proportional to 383,780.40, 575,713.80 and 117,538.80

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Solution

The fourth proportional to 383,780.40, 575,713.80 and 117,538.80 is: 176,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,780.40 : 575,713.80 = 117,538.80 : x
  2. Step 2: Convert to fraction form
    383,780.40/575,713.80 = 117,538.80/x
  3. Step 3: Cross multiply
    383,780.40x = 575,713.80 × 117,538.80
  4. Step 4: Simplify right side
    383,780.40x = 67,668,709,195.44
  5. Step 5: Solve for x
    x = 67,668,709,195.44/383,780.40
  6. Step 6: Final answer
    x = 176,321.43

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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.