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Finding the Fourth Proportional to 384,004.90, 575,272.95 and 206,452.90

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Solution

The fourth proportional to 384,004.90, 575,272.95 and 206,452.90 is: 309,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,004.90 : 575,272.95 = 206,452.90 : x
  2. Step 2: Convert to fraction form
    384,004.90/575,272.95 = 206,452.90/x
  3. Step 3: Cross multiply
    384,004.90x = 575,272.95 × 206,452.90
  4. Step 4: Simplify right side
    384,004.90x = 118,766,768,819.06
  5. Step 5: Solve for x
    x = 118,766,768,819.06/384,004.90
  6. Step 6: Final answer
    x = 309,284.51

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