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Finding the Fourth Proportional to 397,851.60, 596,777.40 and 271,880.40

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Solution

The fourth proportional to 397,851.60, 596,777.40 and 271,880.40 is: 407,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,851.60 : 596,777.40 = 271,880.40 : x
  2. Step 2: Convert to fraction form
    397,851.60/596,777.40 = 271,880.40/x
  3. Step 3: Cross multiply
    397,851.60x = 596,777.40 × 271,880.40
  4. Step 4: Simplify right side
    397,851.60x = 162,252,078,222.96
  5. Step 5: Solve for x
    x = 162,252,078,222.96/397,851.60
  6. Step 6: Final answer
    x = 407,820.60

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Why These Related Problems?

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