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Finding the Fourth Proportional to 550,494.21, 825,543.16 and 190,567.29

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Solution

The fourth proportional to 550,494.21, 825,543.16 and 190,567.29 is: 285,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,494.21 : 825,543.16 = 190,567.29 : x
  2. Step 2: Convert to fraction form
    550,494.21/825,543.16 = 190,567.29/x
  3. Step 3: Cross multiply
    550,494.21x = 825,543.16 × 190,567.29
  4. Step 4: Simplify right side
    550,494.21x = 157,321,522,779.24
  5. Step 5: Solve for x
    x = 157,321,522,779.24/550,494.21
  6. Step 6: Final answer
    x = 285,782.34

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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.