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Finding the Fourth Proportional to 305,841.79, 458,763 and 116,257.60

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Solution

The fourth proportional to 305,841.79, 458,763 and 116,257.60 is: 174,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,841.79 : 458,763 = 116,257.60 : x
  2. Step 2: Convert to fraction form
    305,841.79/458,763 = 116,257.60/x
  3. Step 3: Cross multiply
    305,841.79x = 458,763 × 116,257.60
  4. Step 4: Simplify right side
    305,841.79x = 53,334,685,348.80
  5. Step 5: Solve for x
    x = 53,334,685,348.80/305,841.79
  6. Step 6: Final answer
    x = 174,386.52

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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.