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Finding the Fourth Proportional to 404,893.68, 607,714.14 and 205,354.20

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Solution

The fourth proportional to 404,893.68, 607,714.14 and 205,354.20 is: 308,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,893.68 : 607,714.14 = 205,354.20 : x
  2. Step 2: Convert to fraction form
    404,893.68/607,714.14 = 205,354.20/x
  3. Step 3: Cross multiply
    404,893.68x = 607,714.14 × 205,354.20
  4. Step 4: Simplify right side
    404,893.68x = 124,796,651,048.39
  5. Step 5: Solve for x
    x = 124,796,651,048.39/404,893.68
  6. Step 6: Final answer
    x = 308,220.79

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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.