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Finding the Fourth Proportional to 362,972.72, 544,485 and 96,731.84

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Solution

The fourth proportional to 362,972.72, 544,485 and 96,731.84 is: 145,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,972.72 : 544,485 = 96,731.84 : x
  2. Step 2: Convert to fraction form
    362,972.72/544,485 = 96,731.84/x
  3. Step 3: Cross multiply
    362,972.72x = 544,485 × 96,731.84
  4. Step 4: Simplify right side
    362,972.72x = 52,669,035,902.40
  5. Step 5: Solve for x
    x = 52,669,035,902.40/362,972.72
  6. Step 6: Final answer
    x = 145,104.67

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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.