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Finding the Fourth Proportional to 532,236.57, 734,376.83 and 305,838.33

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Solution

The fourth proportional to 532,236.57, 734,376.83 and 305,838.33 is: 421,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,236.57 : 734,376.83 = 305,838.33 : x
  2. Step 2: Convert to fraction form
    532,236.57/734,376.83 = 305,838.33/x
  3. Step 3: Cross multiply
    532,236.57x = 734,376.83 × 305,838.33
  4. Step 4: Simplify right side
    532,236.57x = 224,600,581,748.70
  5. Step 5: Solve for x
    x = 224,600,581,748.70/532,236.57
  6. Step 6: Final answer
    x = 421,993.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.