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Finding the Fourth Proportional to 300,403.69, 414,557.09 and 166,267.69

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Solution

The fourth proportional to 300,403.69, 414,557.09 and 166,267.69 is: 229,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,403.69 : 414,557.09 = 166,267.69 : x
  2. Step 2: Convert to fraction form
    300,403.69/414,557.09 = 166,267.69/x
  3. Step 3: Cross multiply
    300,403.69x = 414,557.09 × 166,267.69
  4. Step 4: Simplify right side
    300,403.69x = 68,927,448,483.19
  5. Step 5: Solve for x
    x = 68,927,448,483.19/300,403.69
  6. Step 6: Final answer
    x = 229,449.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.