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Finding the Fourth Proportional to 456,293.16, 629,494.30 and 262,654.54

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Solution

The fourth proportional to 456,293.16, 629,494.30 and 262,654.54 is: 362,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,293.16 : 629,494.30 = 262,654.54 : x
  2. Step 2: Convert to fraction form
    456,293.16/629,494.30 = 262,654.54/x
  3. Step 3: Cross multiply
    456,293.16x = 629,494.30 × 262,654.54
  4. Step 4: Simplify right side
    456,293.16x = 165,339,536,128.39
  5. Step 5: Solve for x
    x = 165,339,536,128.39/456,293.16
  6. Step 6: Final answer
    x = 362,353.74

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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.