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Finding the Fourth Proportional to 382,551.86, 573,859.91 and 116,314.67

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Solution

The fourth proportional to 382,551.86, 573,859.91 and 116,314.67 is: 174,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,551.86 : 573,859.91 = 116,314.67 : x
  2. Step 2: Convert to fraction form
    382,551.86/573,859.91 = 116,314.67/x
  3. Step 3: Cross multiply
    382,551.86x = 573,859.91 × 116,314.67
  4. Step 4: Simplify right side
    382,551.86x = 66,748,326,910.96
  5. Step 5: Solve for x
    x = 66,748,326,910.96/382,551.86
  6. Step 6: Final answer
    x = 174,481.78

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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.