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Finding the Fourth Proportional to 383,967.44, 575,948.70 and 206,558

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Solution

The fourth proportional to 383,967.44, 575,948.70 and 206,558 is: 309,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,967.44 : 575,948.70 = 206,558 : x
  2. Step 2: Convert to fraction form
    383,967.44/575,948.70 = 206,558/x
  3. Step 3: Cross multiply
    383,967.44x = 575,948.70 × 206,558
  4. Step 4: Simplify right side
    383,967.44x = 118,966,811,574.60
  5. Step 5: Solve for x
    x = 118,966,811,574.60/383,967.44
  6. Step 6: Final answer
    x = 309,835.68

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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.