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Finding the Fourth Proportional to 382,853.76, 574,408.52 and 169,592.70

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Solution

The fourth proportional to 382,853.76, 574,408.52 and 169,592.70 is: 254,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,853.76 : 574,408.52 = 169,592.70 : x
  2. Step 2: Convert to fraction form
    382,853.76/574,408.52 = 169,592.70/x
  3. Step 3: Cross multiply
    382,853.76x = 574,408.52 × 169,592.70
  4. Step 4: Simplify right side
    382,853.76x = 97,415,490,961.84
  5. Step 5: Solve for x
    x = 97,415,490,961.84/382,853.76
  6. Step 6: Final answer
    x = 254,445.69

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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.