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Finding the Fourth Proportional to 300,020.04, 414,107.10 and 186,775.56

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Solution

The fourth proportional to 300,020.04, 414,107.10 and 186,775.56 is: 257,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,020.04 : 414,107.10 = 186,775.56 : x
  2. Step 2: Convert to fraction form
    300,020.04/414,107.10 = 186,775.56/x
  3. Step 3: Cross multiply
    300,020.04x = 414,107.10 × 186,775.56
  4. Step 4: Simplify right side
    300,020.04x = 77,345,085,502.48
  5. Step 5: Solve for x
    x = 77,345,085,502.48/300,020.04
  6. Step 6: Final answer
    x = 257,799.73

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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.