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Finding the Fourth Proportional to 404,714.20, 607,071.30 and 205,648.60

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Solution

The fourth proportional to 404,714.20, 607,071.30 and 205,648.60 is: 308,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,714.20 : 607,071.30 = 205,648.60 : x
  2. Step 2: Convert to fraction form
    404,714.20/607,071.30 = 205,648.60/x
  3. Step 3: Cross multiply
    404,714.20x = 607,071.30 × 205,648.60
  4. Step 4: Simplify right side
    404,714.20x = 124,843,362,945.18
  5. Step 5: Solve for x
    x = 124,843,362,945.18/404,714.20
  6. Step 6: Final answer
    x = 308,472.90

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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.