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Finding the Fourth Proportional to 383,874.40, 575,854.80 and 117,632.80

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Solution

The fourth proportional to 383,874.40, 575,854.80 and 117,632.80 is: 176,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,874.40 : 575,854.80 = 117,632.80 : x
  2. Step 2: Convert to fraction form
    383,874.40/575,854.80 = 117,632.80/x
  3. Step 3: Cross multiply
    383,874.40x = 575,854.80 × 117,632.80
  4. Step 4: Simplify right side
    383,874.40x = 67,739,412,517.44
  5. Step 5: Solve for x
    x = 67,739,412,517.44/383,874.40
  6. Step 6: Final answer
    x = 176,462.44

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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.