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Finding the Fourth Proportional to 432,327.92, 592,286.48 and 416,160.87

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Solution

The fourth proportional to 432,327.92, 592,286.48 and 416,160.87 is: 570,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,327.92 : 592,286.48 = 416,160.87 : x
  2. Step 2: Convert to fraction form
    432,327.92/592,286.48 = 416,160.87/x
  3. Step 3: Cross multiply
    432,327.92x = 592,286.48 × 416,160.87
  4. Step 4: Simplify right side
    432,327.92x = 246,486,455,625.37
  5. Step 5: Solve for x
    x = 246,486,455,625.37/432,327.92
  6. Step 6: Final answer
    x = 570,137.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.