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Finding the Fourth Proportional to 305,823.60, 458,735.40 and 211,345.20

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Solution

The fourth proportional to 305,823.60, 458,735.40 and 211,345.20 is: 317,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,823.60 : 458,735.40 = 211,345.20 : x
  2. Step 2: Convert to fraction form
    305,823.60/458,735.40 = 211,345.20/x
  3. Step 3: Cross multiply
    305,823.60x = 458,735.40 × 211,345.20
  4. Step 4: Simplify right side
    305,823.60x = 96,951,524,860.08
  5. Step 5: Solve for x
    x = 96,951,524,860.08/305,823.60
  6. Step 6: Final answer
    x = 317,017.80

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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.