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Finding the Fourth Proportional to 300,621.58, 414,857.95 and 164,655.48

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Solution

The fourth proportional to 300,621.58, 414,857.95 and 164,655.48 is: 227,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,621.58 : 414,857.95 = 164,655.48 : x
  2. Step 2: Convert to fraction form
    300,621.58/414,857.95 = 164,655.48/x
  3. Step 3: Cross multiply
    300,621.58x = 414,857.95 × 164,655.48
  4. Step 4: Simplify right side
    300,621.58x = 68,308,636,959.33
  5. Step 5: Solve for x
    x = 68,308,636,959.33/300,621.58
  6. Step 6: Final answer
    x = 227,224.66

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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.