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Finding the Fourth Proportional to 304,313.22, 419,964.62 and 168,344.83

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Solution

The fourth proportional to 304,313.22, 419,964.62 and 168,344.83 is: 232,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,313.22 : 419,964.62 = 168,344.83 : x
  2. Step 2: Convert to fraction form
    304,313.22/419,964.62 = 168,344.83/x
  3. Step 3: Cross multiply
    304,313.22x = 419,964.62 × 168,344.83
  4. Step 4: Simplify right side
    304,313.22x = 70,698,870,668.28
  5. Step 5: Solve for x
    x = 70,698,870,668.28/304,313.22
  6. Step 6: Final answer
    x = 232,322.71

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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.