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Finding the Fourth Proportional to 548,698.68, 823,032.54 and 149,342.91

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Solution

The fourth proportional to 548,698.68, 823,032.54 and 149,342.91 is: 224,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,698.68 : 823,032.54 = 149,342.91 : x
  2. Step 2: Convert to fraction form
    548,698.68/823,032.54 = 149,342.91/x
  3. Step 3: Cross multiply
    548,698.68x = 823,032.54 × 149,342.91
  4. Step 4: Simplify right side
    548,698.68x = 122,914,074,548.29
  5. Step 5: Solve for x
    x = 122,914,074,548.29/548,698.68
  6. Step 6: Final answer
    x = 224,010.15

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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.