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Finding the Fourth Proportional to 405,893.07, 560,191.86 and 233,777.95

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Solution

The fourth proportional to 405,893.07, 560,191.86 and 233,777.95 is: 322,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,893.07 : 560,191.86 = 233,777.95 : x
  2. Step 2: Convert to fraction form
    405,893.07/560,191.86 = 233,777.95/x
  3. Step 3: Cross multiply
    405,893.07x = 560,191.86 × 233,777.95
  4. Step 4: Simplify right side
    405,893.07x = 130,960,503,237.01
  5. Step 5: Solve for x
    x = 130,960,503,237.01/405,893.07
  6. Step 6: Final answer
    x = 322,647.79

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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.