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Finding the Fourth Proportional to 306,014.76, 458,633.48 and 172,969.83

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Solution

The fourth proportional to 306,014.76, 458,633.48 and 172,969.83 is: 259,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,014.76 : 458,633.48 = 172,969.83 : x
  2. Step 2: Convert to fraction form
    306,014.76/458,633.48 = 172,969.83/x
  3. Step 3: Cross multiply
    306,014.76x = 458,633.48 × 172,969.83
  4. Step 4: Simplify right side
    306,014.76x = 79,329,754,203.06
  5. Step 5: Solve for x
    x = 79,329,754,203.06/306,014.76
  6. Step 6: Final answer
    x = 259,235.06

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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.