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Finding the Fourth Proportional to 328,825.87, 493,253.16 and 104,202.86

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Solution

The fourth proportional to 328,825.87, 493,253.16 and 104,202.86 is: 156,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,825.87 : 493,253.16 = 104,202.86 : x
  2. Step 2: Convert to fraction form
    328,825.87/493,253.16 = 104,202.86/x
  3. Step 3: Cross multiply
    328,825.87x = 493,253.16 × 104,202.86
  4. Step 4: Simplify right side
    328,825.87x = 51,398,389,976.04
  5. Step 5: Solve for x
    x = 51,398,389,976.04/328,825.87
  6. Step 6: Final answer
    x = 156,308.84

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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.