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Finding the Fourth Proportional to 348,265.20, 480,467.76 and 227,367.84

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Solution

The fourth proportional to 348,265.20, 480,467.76 and 227,367.84 is: 313,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,265.20 : 480,467.76 = 227,367.84 : x
  2. Step 2: Convert to fraction form
    348,265.20/480,467.76 = 227,367.84/x
  3. Step 3: Cross multiply
    348,265.20x = 480,467.76 × 227,367.84
  4. Step 4: Simplify right side
    348,265.20x = 109,242,916,780.84
  5. Step 5: Solve for x
    x = 109,242,916,780.84/348,265.20
  6. Step 6: Final answer
    x = 313,677.38

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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.