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Finding the Fourth Proportional to 368,067, 507,927.60 and 204,722.40

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Solution

The fourth proportional to 368,067, 507,927.60 and 204,722.40 is: 282,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,067 : 507,927.60 = 204,722.40 : x
  2. Step 2: Convert to fraction form
    368,067/507,927.60 = 204,722.40/x
  3. Step 3: Cross multiply
    368,067x = 507,927.60 × 204,722.40
  4. Step 4: Simplify right side
    368,067x = 103,984,157,298.24
  5. Step 5: Solve for x
    x = 103,984,157,298.24/368,067
  6. Step 6: Final answer
    x = 282,514.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.