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Finding the Fourth Proportional to 307,859.20, 461,851.20 and 174,803.20

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Solution

The fourth proportional to 307,859.20, 461,851.20 and 174,803.20 is: 262,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,859.20 : 461,851.20 = 174,803.20 : x
  2. Step 2: Convert to fraction form
    307,859.20/461,851.20 = 174,803.20/x
  3. Step 3: Cross multiply
    307,859.20x = 461,851.20 × 174,803.20
  4. Step 4: Simplify right side
    307,859.20x = 80,733,067,683.84
  5. Step 5: Solve for x
    x = 80,733,067,683.84/307,859.20
  6. Step 6: Final answer
    x = 262,240.23

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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.