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Finding the Fourth Proportional to 471,243.60, 706,865.40 and 321,944.40

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Solution

The fourth proportional to 471,243.60, 706,865.40 and 321,944.40 is: 482,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,243.60 : 706,865.40 = 321,944.40 : x
  2. Step 2: Convert to fraction form
    471,243.60/706,865.40 = 321,944.40/x
  3. Step 3: Cross multiply
    471,243.60x = 706,865.40 × 321,944.40
  4. Step 4: Simplify right side
    471,243.60x = 227,571,357,083.76
  5. Step 5: Solve for x
    x = 227,571,357,083.76/471,243.60
  6. Step 6: Final answer
    x = 482,916.60

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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.