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Finding the Fourth Proportional to 471,616.60, 706,980.21 and 234,735.34

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Solution

The fourth proportional to 471,616.60, 706,980.21 and 234,735.34 is: 351,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,616.60 : 706,980.21 = 234,735.34 : x
  2. Step 2: Convert to fraction form
    471,616.60/706,980.21 = 234,735.34/x
  3. Step 3: Cross multiply
    471,616.60x = 706,980.21 × 234,735.34
  4. Step 4: Simplify right side
    471,616.60x = 165,953,239,967.62
  5. Step 5: Solve for x
    x = 165,953,239,967.62/471,616.60
  6. Step 6: Final answer
    x = 351,881.68

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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.