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Finding the Fourth Proportional to 275,355.40, 413,033.10 and 149,384.20

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Solution

The fourth proportional to 275,355.40, 413,033.10 and 149,384.20 is: 224,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,355.40 : 413,033.10 = 149,384.20 : x
  2. Step 2: Convert to fraction form
    275,355.40/413,033.10 = 149,384.20/x
  3. Step 3: Cross multiply
    275,355.40x = 413,033.10 × 149,384.20
  4. Step 4: Simplify right side
    275,355.40x = 61,700,619,217.02
  5. Step 5: Solve for x
    x = 61,700,619,217.02/275,355.40
  6. Step 6: Final answer
    x = 224,076.30

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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.