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Finding the Fourth Proportional to 314,604.56, 471,858.15 and 172,519.96

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Solution

The fourth proportional to 314,604.56, 471,858.15 and 172,519.96 is: 258,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,604.56 : 471,858.15 = 172,519.96 : x
  2. Step 2: Convert to fraction form
    314,604.56/471,858.15 = 172,519.96/x
  3. Step 3: Cross multiply
    314,604.56x = 471,858.15 × 172,519.96
  4. Step 4: Simplify right side
    314,604.56x = 81,404,947,853.22
  5. Step 5: Solve for x
    x = 81,404,947,853.22/314,604.56
  6. Step 6: Final answer
    x = 258,753.23

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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.