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Finding the Fourth Proportional to 300,674.04, 414,643.86 and 179,795.64

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Solution

The fourth proportional to 300,674.04, 414,643.86 and 179,795.64 is: 247,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,674.04 : 414,643.86 = 179,795.64 : x
  2. Step 2: Convert to fraction form
    300,674.04/414,643.86 = 179,795.64/x
  3. Step 3: Cross multiply
    300,674.04x = 414,643.86 × 179,795.64
  4. Step 4: Simplify right side
    300,674.04x = 74,551,158,180.77
  5. Step 5: Solve for x
    x = 74,551,158,180.77/300,674.04
  6. Step 6: Final answer
    x = 247,946.77

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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.