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Finding the Fourth Proportional to 403,899.84, 557,382.24 and 234,232.56

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Solution

The fourth proportional to 403,899.84, 557,382.24 and 234,232.56 is: 323,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,899.84 : 557,382.24 = 234,232.56 : x
  2. Step 2: Convert to fraction form
    403,899.84/557,382.24 = 234,232.56/x
  3. Step 3: Cross multiply
    403,899.84x = 557,382.24 × 234,232.56
  4. Step 4: Simplify right side
    403,899.84x = 130,557,068,973.73
  5. Step 5: Solve for x
    x = 130,557,068,973.73/403,899.84
  6. Step 6: Final answer
    x = 323,241.20

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Why These Related Problems?

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