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Finding the Fourth Proportional to 383,666.83, 574,675.46 and 311,294.54

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Solution

The fourth proportional to 383,666.83, 574,675.46 and 311,294.54 is: 466,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,666.83 : 574,675.46 = 311,294.54 : x
  2. Step 2: Convert to fraction form
    383,666.83/574,675.46 = 311,294.54/x
  3. Step 3: Cross multiply
    383,666.83x = 574,675.46 × 311,294.54
  4. Step 4: Simplify right side
    383,666.83x = 178,893,334,017.56
  5. Step 5: Solve for x
    x = 178,893,334,017.56/383,666.83
  6. Step 6: Final answer
    x = 466,272.61

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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.