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Finding the Fourth Proportional to 296,051.20, 444,537.60 and 171,635.20

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Solution

The fourth proportional to 296,051.20, 444,537.60 and 171,635.20 is: 257,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,051.20 : 444,537.60 = 171,635.20 : x
  2. Step 2: Convert to fraction form
    296,051.20/444,537.60 = 171,635.20/x
  3. Step 3: Cross multiply
    296,051.20x = 444,537.60 × 171,635.20
  4. Step 4: Simplify right side
    296,051.20x = 76,298,299,883.52
  5. Step 5: Solve for x
    x = 76,298,299,883.52/296,051.20
  6. Step 6: Final answer
    x = 257,719.95

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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.