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Finding the Fourth Proportional to 531,754.74, 797,977.17 and 318,361.86

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Solution

The fourth proportional to 531,754.74, 797,977.17 and 318,361.86 is: 477,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,754.74 : 797,977.17 = 318,361.86 : x
  2. Step 2: Convert to fraction form
    531,754.74/797,977.17 = 318,361.86/x
  3. Step 3: Cross multiply
    531,754.74x = 797,977.17 × 318,361.86
  4. Step 4: Simplify right side
    531,754.74x = 254,045,496,078.74
  5. Step 5: Solve for x
    x = 254,045,496,078.74/531,754.74
  6. Step 6: Final answer
    x = 477,749.38

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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.