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Finding the Fourth Proportional to 393,233.25, 589,852.04 and 97,745.25

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Solution

The fourth proportional to 393,233.25, 589,852.04 and 97,745.25 is: 146,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,233.25 : 589,852.04 = 97,745.25 : x
  2. Step 2: Convert to fraction form
    393,233.25/589,852.04 = 97,745.25/x
  3. Step 3: Cross multiply
    393,233.25x = 589,852.04 × 97,745.25
  4. Step 4: Simplify right side
    393,233.25x = 57,655,234,624.08
  5. Step 5: Solve for x
    x = 57,655,234,624.08/393,233.25
  6. Step 6: Final answer
    x = 146,618.41

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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.