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Finding the Fourth Proportional to 433,374.83, 650,150.90 and 149,028.45

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Solution

The fourth proportional to 433,374.83, 650,150.90 and 149,028.45 is: 223,573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,374.83 : 650,150.90 = 149,028.45 : x
  2. Step 2: Convert to fraction form
    433,374.83/650,150.90 = 149,028.45/x
  3. Step 3: Cross multiply
    433,374.83x = 650,150.90 × 149,028.45
  4. Step 4: Simplify right side
    433,374.83x = 96,890,980,147.96
  5. Step 5: Solve for x
    x = 96,890,980,147.96/433,374.83
  6. Step 6: Final answer
    x = 223,573.16

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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.