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Finding the Fourth Proportional to 532,217.25, 734,489.78 and 305,877.33

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Solution

The fourth proportional to 532,217.25, 734,489.78 and 305,877.33 is: 422,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,217.25 : 734,489.78 = 305,877.33 : x
  2. Step 2: Convert to fraction form
    532,217.25/734,489.78 = 305,877.33/x
  3. Step 3: Cross multiply
    532,217.25x = 734,489.78 × 305,877.33
  4. Step 4: Simplify right side
    532,217.25x = 224,663,771,289.30
  5. Step 5: Solve for x
    x = 224,663,771,289.30/532,217.25
  6. Step 6: Final answer
    x = 422,127.94

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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.