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Finding the Fourth Proportional to 414,416.12, 621,624.27 and 274,141.94

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Solution

The fourth proportional to 414,416.12, 621,624.27 and 274,141.94 is: 411,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,416.12 : 621,624.27 = 274,141.94 : x
  2. Step 2: Convert to fraction form
    414,416.12/621,624.27 = 274,141.94/x
  3. Step 3: Cross multiply
    414,416.12x = 621,624.27 × 274,141.94
  4. Step 4: Simplify right side
    414,416.12x = 170,413,283,328.88
  5. Step 5: Solve for x
    x = 170,413,283,328.88/414,416.12
  6. Step 6: Final answer
    x = 411,212.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.