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Finding the Fourth Proportional to 301,178.52, 451,623.60 and 174,853.67

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Solution

The fourth proportional to 301,178.52, 451,623.60 and 174,853.67 is: 262,196.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,178.52 : 451,623.60 = 174,853.67 : x
  2. Step 2: Convert to fraction form
    301,178.52/451,623.60 = 174,853.67/x
  3. Step 3: Cross multiply
    301,178.52x = 451,623.60 × 174,853.67
  4. Step 4: Simplify right side
    301,178.52x = 78,968,041,660.49
  5. Step 5: Solve for x
    x = 78,968,041,660.49/301,178.52
  6. Step 6: Final answer
    x = 262,196.79

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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.