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Finding the Fourth Proportional to 289,194.36, 433,866.32 and 169,352.52

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Solution

The fourth proportional to 289,194.36, 433,866.32 and 169,352.52 is: 254,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,194.36 : 433,866.32 = 169,352.52 : x
  2. Step 2: Convert to fraction form
    289,194.36/433,866.32 = 169,352.52/x
  3. Step 3: Cross multiply
    289,194.36x = 433,866.32 × 169,352.52
  4. Step 4: Simplify right side
    289,194.36x = 73,476,354,635.13
  5. Step 5: Solve for x
    x = 73,476,354,635.13/289,194.36
  6. Step 6: Final answer
    x = 254,072.57

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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.