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Finding the Fourth Proportional to 392,720.50, 589,080.76 and 97,232.50

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Solution

The fourth proportional to 392,720.50, 589,080.76 and 97,232.50 is: 145,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,720.50 : 589,080.76 = 97,232.50 : x
  2. Step 2: Convert to fraction form
    392,720.50/589,080.76 = 97,232.50/x
  3. Step 3: Cross multiply
    392,720.50x = 589,080.76 × 97,232.50
  4. Step 4: Simplify right side
    392,720.50x = 57,277,794,996.70
  5. Step 5: Solve for x
    x = 57,277,794,996.70/392,720.50
  6. Step 6: Final answer
    x = 145,848.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.