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Finding the Fourth Proportional to 383,927.94, 575,975.95 and 117,709.22

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Solution

The fourth proportional to 383,927.94, 575,975.95 and 117,709.22 is: 176,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,927.94 : 575,975.95 = 117,709.22 : x
  2. Step 2: Convert to fraction form
    383,927.94/575,975.95 = 117,709.22/x
  3. Step 3: Cross multiply
    383,927.94x = 575,975.95 × 117,709.22
  4. Step 4: Simplify right side
    383,927.94x = 67,797,680,958.93
  5. Step 5: Solve for x
    x = 67,797,680,958.93/383,927.94
  6. Step 6: Final answer
    x = 176,589.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.