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Finding the Fourth Proportional to 319,387.42, 440,643.32 and 204,729.28

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Solution

The fourth proportional to 319,387.42, 440,643.32 and 204,729.28 is: 282,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,387.42 : 440,643.32 = 204,729.28 : x
  2. Step 2: Convert to fraction form
    319,387.42/440,643.32 = 204,729.28/x
  3. Step 3: Cross multiply
    319,387.42x = 440,643.32 × 204,729.28
  4. Step 4: Simplify right side
    319,387.42x = 90,212,589,640.41
  5. Step 5: Solve for x
    x = 90,212,589,640.41/319,387.42
  6. Step 6: Final answer
    x = 282,455.05

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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.