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Finding the Fourth Proportional to 471,211.72, 706,693.62 and 321,424.12

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Solution

The fourth proportional to 471,211.72, 706,693.62 and 321,424.12 is: 482,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,211.72 : 706,693.62 = 321,424.12 : x
  2. Step 2: Convert to fraction form
    471,211.72/706,693.62 = 321,424.12/x
  3. Step 3: Cross multiply
    471,211.72x = 706,693.62 × 321,424.12
  4. Step 4: Simplify right side
    471,211.72x = 227,148,374,918.11
  5. Step 5: Solve for x
    x = 227,148,374,918.11/471,211.72
  6. Step 6: Final answer
    x = 482,051.62

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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.