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Finding the Fourth Proportional to 433,523.84, 650,273.56 and 117,983.48

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Solution

The fourth proportional to 433,523.84, 650,273.56 and 117,983.48 is: 176,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,523.84 : 650,273.56 = 117,983.48 : x
  2. Step 2: Convert to fraction form
    433,523.84/650,273.56 = 117,983.48/x
  3. Step 3: Cross multiply
    433,523.84x = 650,273.56 × 117,983.48
  4. Step 4: Simplify right side
    433,523.84x = 76,721,534,014.46
  5. Step 5: Solve for x
    x = 76,721,534,014.46/433,523.84
  6. Step 6: Final answer
    x = 176,971.89

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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.