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Finding the Fourth Proportional to 382,552.86, 573,861.41 and 116,315.67

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Solution

The fourth proportional to 382,552.86, 573,861.41 and 116,315.67 is: 174,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,552.86 : 573,861.41 = 116,315.67 : x
  2. Step 2: Convert to fraction form
    382,552.86/573,861.41 = 116,315.67/x
  3. Step 3: Cross multiply
    382,552.86x = 573,861.41 × 116,315.67
  4. Step 4: Simplify right side
    382,552.86x = 66,749,074,391.29
  5. Step 5: Solve for x
    x = 66,749,074,391.29/382,552.86
  6. Step 6: Final answer
    x = 174,483.27

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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.