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Finding the Fourth Proportional to 533,442.65, 799,023.83 and 431,801.82

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Solution

The fourth proportional to 533,442.65, 799,023.83 and 431,801.82 is: 646,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,442.65 : 799,023.83 = 431,801.82 : x
  2. Step 2: Convert to fraction form
    533,442.65/799,023.83 = 431,801.82/x
  3. Step 3: Cross multiply
    533,442.65x = 799,023.83 × 431,801.82
  4. Step 4: Simplify right side
    533,442.65x = 345,019,941,858.36
  5. Step 5: Solve for x
    x = 345,019,941,858.36/533,442.65
  6. Step 6: Final answer
    x = 646,779.83

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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.