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Finding the Fourth Proportional to 548,729.94, 823,011.88 and 149,402.20

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Solution

The fourth proportional to 548,729.94, 823,011.88 and 149,402.20 is: 224,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,729.94 : 823,011.88 = 149,402.20 : x
  2. Step 2: Convert to fraction form
    548,729.94/823,011.88 = 149,402.20/x
  3. Step 3: Cross multiply
    548,729.94x = 823,011.88 × 149,402.20
  4. Step 4: Simplify right side
    548,729.94x = 122,959,785,498.14
  5. Step 5: Solve for x
    x = 122,959,785,498.14/548,729.94
  6. Step 6: Final answer
    x = 224,080.69

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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.