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Finding the Fourth Proportional to 414,392.86, 571,856.36 and 233,104.84

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Solution

The fourth proportional to 414,392.86, 571,856.36 and 233,104.84 is: 321,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,392.86 : 571,856.36 = 233,104.84 : x
  2. Step 2: Convert to fraction form
    414,392.86/571,856.36 = 233,104.84/x
  3. Step 3: Cross multiply
    414,392.86x = 571,856.36 × 233,104.84
  4. Step 4: Simplify right side
    414,392.86x = 133,302,482,705.62
  5. Step 5: Solve for x
    x = 133,302,482,705.62/414,392.86
  6. Step 6: Final answer
    x = 321,681.42

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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.