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Finding the Fourth Proportional to 382,543.67, 573,569.46 and 182,859.64

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Solution

The fourth proportional to 382,543.67, 573,569.46 and 182,859.64 is: 274,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,543.67 : 573,569.46 = 182,859.64 : x
  2. Step 2: Convert to fraction form
    382,543.67/573,569.46 = 182,859.64/x
  3. Step 3: Cross multiply
    382,543.67x = 573,569.46 × 182,859.64
  4. Step 4: Simplify right side
    382,543.67x = 104,882,702,102.75
  5. Step 5: Solve for x
    x = 104,882,702,102.75/382,543.67
  6. Step 6: Final answer
    x = 274,171.84

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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.