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Finding the Fourth Proportional to 535,410.52, 738,742.62 and 320,468.92

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Solution

The fourth proportional to 535,410.52, 738,742.62 and 320,468.92 is: 442,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,410.52 : 738,742.62 = 320,468.92 : x
  2. Step 2: Convert to fraction form
    535,410.52/738,742.62 = 320,468.92/x
  3. Step 3: Cross multiply
    535,410.52x = 738,742.62 × 320,468.92
  4. Step 4: Simplify right side
    535,410.52x = 236,744,049,589.37
  5. Step 5: Solve for x
    x = 236,744,049,589.37/535,410.52
  6. Step 6: Final answer
    x = 442,172.95

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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.