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Finding the Fourth Proportional to 328,003.28, 492,074.04 and 106,370

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Solution

The fourth proportional to 328,003.28, 492,074.04 and 106,370 is: 159,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,003.28 : 492,074.04 = 106,370 : x
  2. Step 2: Convert to fraction form
    328,003.28/492,074.04 = 106,370/x
  3. Step 3: Cross multiply
    328,003.28x = 492,074.04 × 106,370
  4. Step 4: Simplify right side
    328,003.28x = 52,341,915,634.80
  5. Step 5: Solve for x
    x = 52,341,915,634.80/328,003.28
  6. Step 6: Final answer
    x = 159,577.42

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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.