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Finding the Fourth Proportional to 383,895.68, 575,843.40 and 206,158.19

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Solution

The fourth proportional to 383,895.68, 575,843.40 and 206,158.19 is: 309,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,895.68 : 575,843.40 = 206,158.19 : x
  2. Step 2: Convert to fraction form
    383,895.68/575,843.40 = 206,158.19/x
  3. Step 3: Cross multiply
    383,895.68x = 575,843.40 × 206,158.19
  4. Step 4: Simplify right side
    383,895.68x = 118,714,830,188.23
  5. Step 5: Solve for x
    x = 118,714,830,188.23/383,895.68
  6. Step 6: Final answer
    x = 309,237.22

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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.