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Finding the Fourth Proportional to 496,125.32, 743,332.06 and 271,647.32

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Solution

The fourth proportional to 496,125.32, 743,332.06 and 271,647.32 is: 407,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,125.32 : 743,332.06 = 271,647.32 : x
  2. Step 2: Convert to fraction form
    496,125.32/743,332.06 = 271,647.32/x
  3. Step 3: Cross multiply
    496,125.32x = 743,332.06 × 271,647.32
  4. Step 4: Simplify right side
    496,125.32x = 201,924,161,969.08
  5. Step 5: Solve for x
    x = 201,924,161,969.08/496,125.32
  6. Step 6: Final answer
    x = 407,002.33

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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.