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Finding the Fourth Proportional to 320,497.70, 480,817.62 and 120,819.80

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Solution

The fourth proportional to 320,497.70, 480,817.62 and 120,819.80 is: 181,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,497.70 : 480,817.62 = 120,819.80 : x
  2. Step 2: Convert to fraction form
    320,497.70/480,817.62 = 120,819.80/x
  3. Step 3: Cross multiply
    320,497.70x = 480,817.62 × 120,819.80
  4. Step 4: Simplify right side
    320,497.70x = 58,092,289,886.92
  5. Step 5: Solve for x
    x = 58,092,289,886.92/320,497.70
  6. Step 6: Final answer
    x = 181,256.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.