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Finding the Fourth Proportional to 262,895.40, 394,480.80 and 120,783.60

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Solution

The fourth proportional to 262,895.40, 394,480.80 and 120,783.60 is: 181,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,895.40 : 394,480.80 = 120,783.60 : x
  2. Step 2: Convert to fraction form
    262,895.40/394,480.80 = 120,783.60/x
  3. Step 3: Cross multiply
    262,895.40x = 394,480.80 × 120,783.60
  4. Step 4: Simplify right side
    262,895.40x = 47,646,811,154.88
  5. Step 5: Solve for x
    x = 47,646,811,154.88/262,895.40
  6. Step 6: Final answer
    x = 181,238.66

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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.