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Finding the Fourth Proportional to 497,361.36, 746,262.56 and 260,647.76

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Solution

The fourth proportional to 497,361.36, 746,262.56 and 260,647.76 is: 391,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,361.36 : 746,262.56 = 260,647.76 : x
  2. Step 2: Convert to fraction form
    497,361.36/746,262.56 = 260,647.76/x
  3. Step 3: Cross multiply
    497,361.36x = 746,262.56 × 260,647.76
  4. Step 4: Simplify right side
    497,361.36x = 194,511,664,635.87
  5. Step 5: Solve for x
    x = 194,511,664,635.87/497,361.36
  6. Step 6: Final answer
    x = 391,087.21

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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.