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Finding the Fourth Proportional to 319,205.45, 478,769.16 and 82,528.31

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Solution

The fourth proportional to 319,205.45, 478,769.16 and 82,528.31 is: 123,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,205.45 : 478,769.16 = 82,528.31 : x
  2. Step 2: Convert to fraction form
    319,205.45/478,769.16 = 82,528.31/x
  3. Step 3: Cross multiply
    319,205.45x = 478,769.16 × 82,528.31
  4. Step 4: Simplify right side
    319,205.45x = 39,512,009,654.92
  5. Step 5: Solve for x
    x = 39,512,009,654.92/319,205.45
  6. Step 6: Final answer
    x = 123,782.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.