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Finding the Fourth Proportional to 592,674.57, 817,890.92 and 320,742.48

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Solution

The fourth proportional to 592,674.57, 817,890.92 and 320,742.48 is: 442,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,674.57 : 817,890.92 = 320,742.48 : x
  2. Step 2: Convert to fraction form
    592,674.57/817,890.92 = 320,742.48/x
  3. Step 3: Cross multiply
    592,674.57x = 817,890.92 × 320,742.48
  4. Step 4: Simplify right side
    592,674.57x = 262,332,364,716.44
  5. Step 5: Solve for x
    x = 262,332,364,716.44/592,674.57
  6. Step 6: Final answer
    x = 442,624.63

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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.