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Finding the Fourth Proportional to 508,610.80, 763,353.60 and 224,738.20

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Solution

The fourth proportional to 508,610.80, 763,353.60 and 224,738.20 is: 337,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,610.80 : 763,353.60 = 224,738.20 : x
  2. Step 2: Convert to fraction form
    508,610.80/763,353.60 = 224,738.20/x
  3. Step 3: Cross multiply
    508,610.80x = 763,353.60 × 224,738.20
  4. Step 4: Simplify right side
    508,610.80x = 171,554,714,027.52
  5. Step 5: Solve for x
    x = 171,554,714,027.52/508,610.80
  6. Step 6: Final answer
    x = 337,300.57

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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.