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Finding the Fourth Proportional to 382,288.50, 573,501.96 and 157,523.94

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Solution

The fourth proportional to 382,288.50, 573,501.96 and 157,523.94 is: 236,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,288.50 : 573,501.96 = 157,523.94 : x
  2. Step 2: Convert to fraction form
    382,288.50/573,501.96 = 157,523.94/x
  3. Step 3: Cross multiply
    382,288.50x = 573,501.96 × 157,523.94
  4. Step 4: Simplify right side
    382,288.50x = 90,340,288,336.92
  5. Step 5: Solve for x
    x = 90,340,288,336.92/382,288.50
  6. Step 6: Final answer
    x = 236,314.43

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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.