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Finding the Fourth Proportional to 471,004.41, 706,508.61 and 146,796.63

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Solution

The fourth proportional to 471,004.41, 706,508.61 and 146,796.63 is: 220,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,004.41 : 706,508.61 = 146,796.63 : x
  2. Step 2: Convert to fraction form
    471,004.41/706,508.61 = 146,796.63/x
  3. Step 3: Cross multiply
    471,004.41x = 706,508.61 × 146,796.63
  4. Step 4: Simplify right side
    471,004.41x = 103,713,083,013.98
  5. Step 5: Solve for x
    x = 103,713,083,013.98/471,004.41
  6. Step 6: Final answer
    x = 220,195.57

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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.