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Finding the Fourth Proportional to 412,477.82, 568,154.59 and 291,408.87

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Solution

The fourth proportional to 412,477.82, 568,154.59 and 291,408.87 is: 401,391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,477.82 : 568,154.59 = 291,408.87 : x
  2. Step 2: Convert to fraction form
    412,477.82/568,154.59 = 291,408.87/x
  3. Step 3: Cross multiply
    412,477.82x = 568,154.59 × 291,408.87
  4. Step 4: Simplify right side
    412,477.82x = 165,565,288,459.27
  5. Step 5: Solve for x
    x = 165,565,288,459.27/412,477.82
  6. Step 6: Final answer
    x = 401,391.98

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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.