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Finding the Fourth Proportional to 289,025.28, 433,448.28 and 101,993.04

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Solution

The fourth proportional to 289,025.28, 433,448.28 and 101,993.04 is: 152,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,025.28 : 433,448.28 = 101,993.04 : x
  2. Step 2: Convert to fraction form
    289,025.28/433,448.28 = 101,993.04/x
  3. Step 3: Cross multiply
    289,025.28x = 433,448.28 × 101,993.04
  4. Step 4: Simplify right side
    289,025.28x = 44,208,707,759.97
  5. Step 5: Solve for x
    x = 44,208,707,759.97/289,025.28
  6. Step 6: Final answer
    x = 152,957.93

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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.