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Finding the Fourth Proportional to 496,164.06, 743,390.10 and 271,686.06

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Solution

The fourth proportional to 496,164.06, 743,390.10 and 271,686.06 is: 407,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,164.06 : 743,390.10 = 271,686.06 : x
  2. Step 2: Convert to fraction form
    496,164.06/743,390.10 = 271,686.06/x
  3. Step 3: Cross multiply
    496,164.06x = 743,390.10 × 271,686.06
  4. Step 4: Simplify right side
    496,164.06x = 201,968,727,312.01
  5. Step 5: Solve for x
    x = 201,968,727,312.01/496,164.06
  6. Step 6: Final answer
    x = 407,060.37

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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.