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Finding the Fourth Proportional to 360,824.31, 497,608.50 and 309,821.04

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Solution

The fourth proportional to 360,824.31, 497,608.50 and 309,821.04 is: 427,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,824.31 : 497,608.50 = 309,821.04 : x
  2. Step 2: Convert to fraction form
    360,824.31/497,608.50 = 309,821.04/x
  3. Step 3: Cross multiply
    360,824.31x = 497,608.50 × 309,821.04
  4. Step 4: Simplify right side
    360,824.31x = 154,169,582,982.84
  5. Step 5: Solve for x
    x = 154,169,582,982.84/360,824.31
  6. Step 6: Final answer
    x = 427,270.50

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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.