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Finding the Fourth Proportional to 433,638.07, 650,437.05 and 113,782.03

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Solution

The fourth proportional to 433,638.07, 650,437.05 and 113,782.03 is: 170,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,638.07 : 650,437.05 = 113,782.03 : x
  2. Step 2: Convert to fraction form
    433,638.07/650,437.05 = 113,782.03/x
  3. Step 3: Cross multiply
    433,638.07x = 650,437.05 × 113,782.03
  4. Step 4: Simplify right side
    433,638.07x = 74,008,047,936.21
  5. Step 5: Solve for x
    x = 74,008,047,936.21/433,638.07
  6. Step 6: Final answer
    x = 170,667.78

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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.