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Finding the Fourth Proportional to 527,933.94, 728,494.31 and 323,993.46

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Solution

The fourth proportional to 527,933.94, 728,494.31 and 323,993.46 is: 447,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,933.94 : 728,494.31 = 323,993.46 : x
  2. Step 2: Convert to fraction form
    527,933.94/728,494.31 = 323,993.46/x
  3. Step 3: Cross multiply
    527,933.94x = 728,494.31 × 323,993.46
  4. Step 4: Simplify right side
    527,933.94x = 236,027,390,734.63
  5. Step 5: Solve for x
    x = 236,027,390,734.63/527,933.94
  6. Step 6: Final answer
    x = 447,077.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.