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Finding the Fourth Proportional to 504,993.68, 697,243.56 and 314,092.88

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Solution

The fourth proportional to 504,993.68, 697,243.56 and 314,092.88 is: 433,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,993.68 : 697,243.56 = 314,092.88 : x
  2. Step 2: Convert to fraction form
    504,993.68/697,243.56 = 314,092.88/x
  3. Step 3: Cross multiply
    504,993.68x = 697,243.56 × 314,092.88
  4. Step 4: Simplify right side
    504,993.68x = 218,999,237,821.85
  5. Step 5: Solve for x
    x = 218,999,237,821.85/504,993.68
  6. Step 6: Final answer
    x = 433,667.28

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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.