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Finding the Fourth Proportional to 521,820.66, 782,842.54 and 161,983.60

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Solution

The fourth proportional to 521,820.66, 782,842.54 and 161,983.60 is: 243,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,820.66 : 782,842.54 = 161,983.60 : x
  2. Step 2: Convert to fraction form
    521,820.66/782,842.54 = 161,983.60/x
  3. Step 3: Cross multiply
    521,820.66x = 782,842.54 × 161,983.60
  4. Step 4: Simplify right side
    521,820.66x = 126,807,652,862.34
  5. Step 5: Solve for x
    x = 126,807,652,862.34/521,820.66
  6. Step 6: Final answer
    x = 243,010.03

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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.