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Finding the Fourth Proportional to 447,986.16, 671,641.32 and 270,450.96

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Solution

The fourth proportional to 447,986.16, 671,641.32 and 270,450.96 is: 405,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,986.16 : 671,641.32 = 270,450.96 : x
  2. Step 2: Convert to fraction form
    447,986.16/671,641.32 = 270,450.96/x
  3. Step 3: Cross multiply
    447,986.16x = 671,641.32 × 270,450.96
  4. Step 4: Simplify right side
    447,986.16x = 181,646,039,769.67
  5. Step 5: Solve for x
    x = 181,646,039,769.67/447,986.16
  6. Step 6: Final answer
    x = 405,472.44

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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.