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Finding the Fourth Proportional to 532,231.37, 734,369.64 and 305,833.13

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Solution

The fourth proportional to 532,231.37, 734,369.64 and 305,833.13 is: 421,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,231.37 : 734,369.64 = 305,833.13 : x
  2. Step 2: Convert to fraction form
    532,231.37/734,369.64 = 305,833.13/x
  3. Step 3: Cross multiply
    532,231.37x = 734,369.64 × 305,833.13
  4. Step 4: Simplify right side
    532,231.37x = 224,594,565,578.17
  5. Step 5: Solve for x
    x = 224,594,565,578.17/532,231.37
  6. Step 6: Final answer
    x = 421,986.71

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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.