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Finding the Fourth Proportional to 406,441.56, 610,040.58 and 206,911.32

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Solution

The fourth proportional to 406,441.56, 610,040.58 and 206,911.32 is: 310,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,441.56 : 610,040.58 = 206,911.32 : x
  2. Step 2: Convert to fraction form
    406,441.56/610,040.58 = 206,911.32/x
  3. Step 3: Cross multiply
    406,441.56x = 610,040.58 × 206,911.32
  4. Step 4: Simplify right side
    406,441.56x = 126,224,301,661.37
  5. Step 5: Solve for x
    x = 126,224,301,661.37/406,441.56
  6. Step 6: Final answer
    x = 310,559.53

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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.