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Finding the Fourth Proportional to 383,118, 574,675.30 and 116,877.61

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Solution

The fourth proportional to 383,118, 574,675.30 and 116,877.61 is: 175,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,118 : 574,675.30 = 116,877.61 : x
  2. Step 2: Convert to fraction form
    383,118/574,675.30 = 116,877.61/x
  3. Step 3: Cross multiply
    383,118x = 574,675.30 × 116,877.61
  4. Step 4: Simplify right side
    383,118x = 67,166,675,590.03
  5. Step 5: Solve for x
    x = 67,166,675,590.03/383,118
  6. Step 6: Final answer
    x = 175,315.90

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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.