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Finding the Fourth Proportional to 403,883.84, 557,360.16 and 234,216.56

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Solution

The fourth proportional to 403,883.84, 557,360.16 and 234,216.56 is: 323,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,883.84 : 557,360.16 = 234,216.56 : x
  2. Step 2: Convert to fraction form
    403,883.84/557,360.16 = 234,216.56/x
  3. Step 3: Cross multiply
    403,883.84x = 557,360.16 × 234,216.56
  4. Step 4: Simplify right side
    403,883.84x = 130,542,979,356.25
  5. Step 5: Solve for x
    x = 130,542,979,356.25/403,883.84
  6. Step 6: Final answer
    x = 323,219.12

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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.