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Finding the Fourth Proportional to 532,233.71, 734,372.88 and 305,835.47

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Solution

The fourth proportional to 532,233.71, 734,372.88 and 305,835.47 is: 421,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,233.71 : 734,372.88 = 305,835.47 : x
  2. Step 2: Convert to fraction form
    532,233.71/734,372.88 = 305,835.47/x
  3. Step 3: Cross multiply
    532,233.71x = 734,372.88 × 305,835.47
  4. Step 4: Simplify right side
    532,233.71x = 224,597,276,745.99
  5. Step 5: Solve for x
    x = 224,597,276,745.99/532,233.71
  6. Step 6: Final answer
    x = 421,989.95

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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.