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Finding the Fourth Proportional to 471,010.74, 706,516.29 and 116,031.66

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Solution

The fourth proportional to 471,010.74, 706,516.29 and 116,031.66 is: 174,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,010.74 : 706,516.29 = 116,031.66 : x
  2. Step 2: Convert to fraction form
    471,010.74/706,516.29 = 116,031.66/x
  3. Step 3: Cross multiply
    471,010.74x = 706,516.29 × 116,031.66
  4. Step 4: Simplify right side
    471,010.74x = 81,978,257,945.74
  5. Step 5: Solve for x
    x = 81,978,257,945.74/471,010.74
  6. Step 6: Final answer
    x = 174,047.53

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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.