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Finding the Fourth Proportional to 560,477.09, 773,477.04 and 305,842.25

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Solution

The fourth proportional to 560,477.09, 773,477.04 and 305,842.25 is: 422,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,477.09 : 773,477.04 = 305,842.25 : x
  2. Step 2: Convert to fraction form
    560,477.09/773,477.04 = 305,842.25/x
  3. Step 3: Cross multiply
    560,477.09x = 773,477.04 × 305,842.25
  4. Step 4: Simplify right side
    560,477.09x = 236,561,954,369.56
  5. Step 5: Solve for x
    x = 236,561,954,369.56/560,477.09
  6. Step 6: Final answer
    x = 422,072.48

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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.