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Finding the Fourth Proportional to 560,525.84, 773,542.16 and 305,893.52

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Solution

The fourth proportional to 560,525.84, 773,542.16 and 305,893.52 is: 422,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,525.84 : 773,542.16 = 305,893.52 : x
  2. Step 2: Convert to fraction form
    560,525.84/773,542.16 = 305,893.52/x
  3. Step 3: Cross multiply
    560,525.84x = 773,542.16 × 305,893.52
  4. Step 4: Simplify right side
    560,525.84x = 236,621,534,190.80
  5. Step 5: Solve for x
    x = 236,621,534,190.80/560,525.84
  6. Step 6: Final answer
    x = 422,142.06

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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.