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Finding the Fourth Proportional to 504,965.52, 697,104.93 and 314,040.42

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Solution

The fourth proportional to 504,965.52, 697,104.93 and 314,040.42 is: 433,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,965.52 : 697,104.93 = 314,040.42 : x
  2. Step 2: Convert to fraction form
    504,965.52/697,104.93 = 314,040.42/x
  3. Step 3: Cross multiply
    504,965.52x = 697,104.93 × 314,040.42
  4. Step 4: Simplify right side
    504,965.52x = 218,919,125,001.27
  5. Step 5: Solve for x
    x = 218,919,125,001.27/504,965.52
  6. Step 6: Final answer
    x = 433,532.82

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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.