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Finding the Fourth Proportional to 471,321.09, 706,823.10 and 151,394.49

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Solution

The fourth proportional to 471,321.09, 706,823.10 and 151,394.49 is: 227,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,321.09 : 706,823.10 = 151,394.49 : x
  2. Step 2: Convert to fraction form
    471,321.09/706,823.10 = 151,394.49/x
  3. Step 3: Cross multiply
    471,321.09x = 706,823.10 × 151,394.49
  4. Step 4: Simplify right side
    471,321.09x = 107,009,122,744.72
  5. Step 5: Solve for x
    x = 107,009,122,744.72/471,321.09
  6. Step 6: Final answer
    x = 227,040.81

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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.