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Finding the Fourth Proportional to 305,798.24, 458,309.85 and 172,753.46

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Solution

The fourth proportional to 305,798.24, 458,309.85 and 172,753.46 is: 258,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,798.24 : 458,309.85 = 172,753.46 : x
  2. Step 2: Convert to fraction form
    305,798.24/458,309.85 = 172,753.46/x
  3. Step 3: Cross multiply
    305,798.24x = 458,309.85 × 172,753.46
  4. Step 4: Simplify right side
    305,798.24x = 79,174,611,118.87
  5. Step 5: Solve for x
    x = 79,174,611,118.87/305,798.24
  6. Step 6: Final answer
    x = 258,911.27

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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.