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Finding the Fourth Proportional to 497,803.54, 686,967.60 and 271,449.04

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Solution

The fourth proportional to 497,803.54, 686,967.60 and 271,449.04 is: 374,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,803.54 : 686,967.60 = 271,449.04 : x
  2. Step 2: Convert to fraction form
    497,803.54/686,967.60 = 271,449.04/x
  3. Step 3: Cross multiply
    497,803.54x = 686,967.60 × 271,449.04
  4. Step 4: Simplify right side
    497,803.54x = 186,476,692,096.27
  5. Step 5: Solve for x
    x = 186,476,692,096.27/497,803.54
  6. Step 6: Final answer
    x = 374,598.97

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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.