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Finding the Fourth Proportional to 383,628.88, 575,797.83 and 194,222.40

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Solution

The fourth proportional to 383,628.88, 575,797.83 and 194,222.40 is: 291,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,628.88 : 575,797.83 = 194,222.40 : x
  2. Step 2: Convert to fraction form
    383,628.88/575,797.83 = 194,222.40/x
  3. Step 3: Cross multiply
    383,628.88x = 575,797.83 × 194,222.40
  4. Step 4: Simplify right side
    383,628.88x = 111,832,836,457.39
  5. Step 5: Solve for x
    x = 111,832,836,457.39/383,628.88
  6. Step 6: Final answer
    x = 291,513.08

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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.