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Finding the Fourth Proportional to 383,877.40, 575,859.30 and 117,635.80

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Solution

The fourth proportional to 383,877.40, 575,859.30 and 117,635.80 is: 176,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,877.40 : 575,859.30 = 117,635.80 : x
  2. Step 2: Convert to fraction form
    383,877.40/575,859.30 = 117,635.80/x
  3. Step 3: Cross multiply
    383,877.40x = 575,859.30 × 117,635.80
  4. Step 4: Simplify right side
    383,877.40x = 67,741,669,442.94
  5. Step 5: Solve for x
    x = 67,741,669,442.94/383,877.40
  6. Step 6: Final answer
    x = 176,466.94

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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.