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Finding the Fourth Proportional to 414,470.36, 571,928.40 and 233,178.40

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Solution

The fourth proportional to 414,470.36, 571,928.40 and 233,178.40 is: 321,763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,470.36 : 571,928.40 = 233,178.40 : x
  2. Step 2: Convert to fraction form
    414,470.36/571,928.40 = 233,178.40/x
  3. Step 3: Cross multiply
    414,470.36x = 571,928.40 × 233,178.40
  4. Step 4: Simplify right side
    414,470.36x = 133,361,349,226.56
  5. Step 5: Solve for x
    x = 133,361,349,226.56/414,470.36
  6. Step 6: Final answer
    x = 321,763.30

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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.