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Finding the Fourth Proportional to 496,625.40, 744,419.70 and 271,639.80

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Solution

The fourth proportional to 496,625.40, 744,419.70 and 271,639.80 is: 407,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,625.40 : 744,419.70 = 271,639.80 : x
  2. Step 2: Convert to fraction form
    496,625.40/744,419.70 = 271,639.80/x
  3. Step 3: Cross multiply
    496,625.40x = 744,419.70 × 271,639.80
  4. Step 4: Simplify right side
    496,625.40x = 202,214,018,424.06
  5. Step 5: Solve for x
    x = 202,214,018,424.06/496,625.40
  6. Step 6: Final answer
    x = 407,176.15

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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.