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Finding the Fourth Proportional to 433,489.35, 650,238.81 and 193,615.47

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Solution

The fourth proportional to 433,489.35, 650,238.81 and 193,615.47 is: 290,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,489.35 : 650,238.81 = 193,615.47 : x
  2. Step 2: Convert to fraction form
    433,489.35/650,238.81 = 193,615.47/x
  3. Step 3: Cross multiply
    433,489.35x = 650,238.81 × 193,615.47
  4. Step 4: Simplify right side
    433,489.35x = 125,896,292,810.39
  5. Step 5: Solve for x
    x = 125,896,292,810.39/433,489.35
  6. Step 6: Final answer
    x = 290,425.34

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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.