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Finding the Fourth Proportional to 305,763.20, 458,644.80 and 212,451.20

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Solution

The fourth proportional to 305,763.20, 458,644.80 and 212,451.20 is: 318,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,763.20 : 458,644.80 = 212,451.20 : x
  2. Step 2: Convert to fraction form
    305,763.20/458,644.80 = 212,451.20/x
  3. Step 3: Cross multiply
    305,763.20x = 458,644.80 × 212,451.20
  4. Step 4: Simplify right side
    305,763.20x = 97,439,638,133.76
  5. Step 5: Solve for x
    x = 97,439,638,133.76/305,763.20
  6. Step 6: Final answer
    x = 318,676.80

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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.