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Finding the Fourth Proportional to 456,462.96, 629,965.97 and 262,877.01

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Solution

The fourth proportional to 456,462.96, 629,965.97 and 262,877.01 is: 362,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,462.96 : 629,965.97 = 262,877.01 : x
  2. Step 2: Convert to fraction form
    456,462.96/629,965.97 = 262,877.01/x
  3. Step 3: Cross multiply
    456,462.96x = 629,965.97 × 262,877.01
  4. Step 4: Simplify right side
    456,462.96x = 165,603,570,595.35
  5. Step 5: Solve for x
    x = 165,603,570,595.35/456,462.96
  6. Step 6: Final answer
    x = 362,797.39

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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.