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Finding the Fourth Proportional to 382,843, 574,269.36 and 133,525

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Solution

The fourth proportional to 382,843, 574,269.36 and 133,525 is: 200,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,843 : 574,269.36 = 133,525 : x
  2. Step 2: Convert to fraction form
    382,843/574,269.36 = 133,525/x
  3. Step 3: Cross multiply
    382,843x = 574,269.36 × 133,525
  4. Step 4: Simplify right side
    382,843x = 76,679,316,294
  5. Step 5: Solve for x
    x = 76,679,316,294/382,843
  6. Step 6: Final answer
    x = 200,289.20

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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.