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Finding the Fourth Proportional to 319,783.82, 441,294.66 and 174,584.64

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Solution

The fourth proportional to 319,783.82, 441,294.66 and 174,584.64 is: 240,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,783.82 : 441,294.66 = 174,584.64 : x
  2. Step 2: Convert to fraction form
    319,783.82/441,294.66 = 174,584.64/x
  3. Step 3: Cross multiply
    319,783.82x = 441,294.66 × 174,584.64
  4. Step 4: Simplify right side
    319,783.82x = 77,043,269,350.02
  5. Step 5: Solve for x
    x = 77,043,269,350.02/319,783.82
  6. Step 6: Final answer
    x = 240,922.98

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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.