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Finding the Fourth Proportional to 300,004.82, 414,007.02 and 164,039.36

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Solution

The fourth proportional to 300,004.82, 414,007.02 and 164,039.36 is: 226,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,004.82 : 414,007.02 = 164,039.36 : x
  2. Step 2: Convert to fraction form
    300,004.82/414,007.02 = 164,039.36/x
  3. Step 3: Cross multiply
    300,004.82x = 414,007.02 × 164,039.36
  4. Step 4: Simplify right side
    300,004.82x = 67,913,446,596.31
  5. Step 5: Solve for x
    x = 67,913,446,596.31/300,004.82
  6. Step 6: Final answer
    x = 226,374.52

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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.