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Finding the Fourth Proportional to 376,316.12, 519,559.44 and 233,228

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Solution

The fourth proportional to 376,316.12, 519,559.44 and 233,228 is: 322,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,316.12 : 519,559.44 = 233,228 : x
  2. Step 2: Convert to fraction form
    376,316.12/519,559.44 = 233,228/x
  3. Step 3: Cross multiply
    376,316.12x = 519,559.44 × 233,228
  4. Step 4: Simplify right side
    376,316.12x = 121,175,809,072.32
  5. Step 5: Solve for x
    x = 121,175,809,072.32/376,316.12
  6. Step 6: Final answer
    x = 322,005.36

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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.