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Finding the Fourth Proportional to 300,566.23, 414,710.24 and 177,996.71

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Solution

The fourth proportional to 300,566.23, 414,710.24 and 177,996.71 is: 245,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,566.23 : 414,710.24 = 177,996.71 : x
  2. Step 2: Convert to fraction form
    300,566.23/414,710.24 = 177,996.71/x
  3. Step 3: Cross multiply
    300,566.23x = 414,710.24 × 177,996.71
  4. Step 4: Simplify right side
    300,566.23x = 73,817,058,470.10
  5. Step 5: Solve for x
    x = 73,817,058,470.10/300,566.23
  6. Step 6: Final answer
    x = 245,593.32

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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.