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Finding the Fourth Proportional to 481,877.12, 721,833.96 and 228,389.24

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Solution

The fourth proportional to 481,877.12, 721,833.96 and 228,389.24 is: 342,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,877.12 : 721,833.96 = 228,389.24 : x
  2. Step 2: Convert to fraction form
    481,877.12/721,833.96 = 228,389.24/x
  3. Step 3: Cross multiply
    481,877.12x = 721,833.96 × 228,389.24
  4. Step 4: Simplify right side
    481,877.12x = 164,859,109,530.59
  5. Step 5: Solve for x
    x = 164,859,109,530.59/481,877.12
  6. Step 6: Final answer
    x = 342,118.57

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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.