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Finding the Fourth Proportional to 383,843.40, 575,030.70 and 206,291.40

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Solution

The fourth proportional to 383,843.40, 575,030.70 and 206,291.40 is: 309,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,843.40 : 575,030.70 = 206,291.40 : x
  2. Step 2: Convert to fraction form
    383,843.40/575,030.70 = 206,291.40/x
  3. Step 3: Cross multiply
    383,843.40x = 575,030.70 × 206,291.40
  4. Step 4: Simplify right side
    383,843.40x = 118,623,888,145.98
  5. Step 5: Solve for x
    x = 118,623,888,145.98/383,843.40
  6. Step 6: Final answer
    x = 309,042.41

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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.