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Finding the Fourth Proportional to 471,178.96, 706,775.94 and 116,193.10

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Solution

The fourth proportional to 471,178.96, 706,775.94 and 116,193.10 is: 174,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,178.96 : 706,775.94 = 116,193.10 : x
  2. Step 2: Convert to fraction form
    471,178.96/706,775.94 = 116,193.10/x
  3. Step 3: Cross multiply
    471,178.96x = 706,775.94 × 116,193.10
  4. Step 4: Simplify right side
    471,178.96x = 82,122,487,474.01
  5. Step 5: Solve for x
    x = 82,122,487,474.01/471,178.96
  6. Step 6: Final answer
    x = 174,291.50

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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.