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Finding the Fourth Proportional to 302,871.46, 417,963.22 and 182,014.60

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Solution

The fourth proportional to 302,871.46, 417,963.22 and 182,014.60 is: 251,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,871.46 : 417,963.22 = 182,014.60 : x
  2. Step 2: Convert to fraction form
    302,871.46/417,963.22 = 182,014.60/x
  3. Step 3: Cross multiply
    302,871.46x = 417,963.22 × 182,014.60
  4. Step 4: Simplify right side
    302,871.46x = 76,075,408,303.01
  5. Step 5: Solve for x
    x = 76,075,408,303.01/302,871.46
  6. Step 6: Final answer
    x = 251,180.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.