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Finding the Fourth Proportional to 305,752.60, 458,809.34 and 116,372.44

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Solution

The fourth proportional to 305,752.60, 458,809.34 and 116,372.44 is: 174,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,752.60 : 458,809.34 = 116,372.44 : x
  2. Step 2: Convert to fraction form
    305,752.60/458,809.34 = 116,372.44/x
  3. Step 3: Cross multiply
    305,752.60x = 458,809.34 × 116,372.44
  4. Step 4: Simplify right side
    305,752.60x = 53,392,762,390.59
  5. Step 5: Solve for x
    x = 53,392,762,390.59/305,752.60
  6. Step 6: Final answer
    x = 174,627.34

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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.