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Finding the Fourth Proportional to 471,174.96, 706,769.94 and 116,189.10

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Solution

The fourth proportional to 471,174.96, 706,769.94 and 116,189.10 is: 174,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,174.96 : 706,769.94 = 116,189.10 : x
  2. Step 2: Convert to fraction form
    471,174.96/706,769.94 = 116,189.10/x
  3. Step 3: Cross multiply
    471,174.96x = 706,769.94 × 116,189.10
  4. Step 4: Simplify right side
    471,174.96x = 82,118,963,235.65
  5. Step 5: Solve for x
    x = 82,118,963,235.65/471,174.96
  6. Step 6: Final answer
    x = 174,285.50

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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.