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Finding the Fourth Proportional to 382,733.92, 573,728.40 and 183,002.56

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Solution

The fourth proportional to 382,733.92, 573,728.40 and 183,002.56 is: 274,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,733.92 : 573,728.40 = 183,002.56 : x
  2. Step 2: Convert to fraction form
    382,733.92/573,728.40 = 183,002.56/x
  3. Step 3: Cross multiply
    382,733.92x = 573,728.40 × 183,002.56
  4. Step 4: Simplify right side
    382,733.92x = 104,993,765,944.70
  5. Step 5: Solve for x
    x = 104,993,765,944.70/382,733.92
  6. Step 6: Final answer
    x = 274,325.74

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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.