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Finding the Fourth Proportional to 471,178.46, 706,775.19 and 116,192.60

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Solution

The fourth proportional to 471,178.46, 706,775.19 and 116,192.60 is: 174,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,178.46 : 706,775.19 = 116,192.60 : x
  2. Step 2: Convert to fraction form
    471,178.46/706,775.19 = 116,192.60/x
  3. Step 3: Cross multiply
    471,178.46x = 706,775.19 × 116,192.60
  4. Step 4: Simplify right side
    471,178.46x = 82,122,046,941.59
  5. Step 5: Solve for x
    x = 82,122,046,941.59/471,178.46
  6. Step 6: Final answer
    x = 174,290.75

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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.