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Finding the Fourth Proportional to 320,261.49, 480,229.02 and 106,952.67

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Solution

The fourth proportional to 320,261.49, 480,229.02 and 106,952.67 is: 160,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,261.49 : 480,229.02 = 106,952.67 : x
  2. Step 2: Convert to fraction form
    320,261.49/480,229.02 = 106,952.67/x
  3. Step 3: Cross multiply
    320,261.49x = 480,229.02 × 106,952.67
  4. Step 4: Simplify right side
    320,261.49x = 51,361,775,900.48
  5. Step 5: Solve for x
    x = 51,361,775,900.48/320,261.49
  6. Step 6: Final answer
    x = 160,374.50

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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.