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Finding the Fourth Proportional to 384,334.80, 576,502.20 and 100,024.80

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Solution

The fourth proportional to 384,334.80, 576,502.20 and 100,024.80 is: 150,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,334.80 : 576,502.20 = 100,024.80 : x
  2. Step 2: Convert to fraction form
    384,334.80/576,502.20 = 100,024.80/x
  3. Step 3: Cross multiply
    384,334.80x = 576,502.20 × 100,024.80
  4. Step 4: Simplify right side
    384,334.80x = 57,664,517,254.56
  5. Step 5: Solve for x
    x = 57,664,517,254.56/384,334.80
  6. Step 6: Final answer
    x = 150,037.20

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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.