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Finding the Fourth Proportional to 393,253.50, 589,882.41 and 97,765.50

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Solution

The fourth proportional to 393,253.50, 589,882.41 and 97,765.50 is: 146,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,253.50 : 589,882.41 = 97,765.50 : x
  2. Step 2: Convert to fraction form
    393,253.50/589,882.41 = 97,765.50/x
  3. Step 3: Cross multiply
    393,253.50x = 589,882.41 × 97,765.50
  4. Step 4: Simplify right side
    393,253.50x = 57,670,148,754.86
  5. Step 5: Solve for x
    x = 57,670,148,754.86/393,253.50
  6. Step 6: Final answer
    x = 146,648.79

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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.