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Finding the Fourth Proportional to 463,433.54, 639,520.56 and 259,465.38

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Solution

The fourth proportional to 463,433.54, 639,520.56 and 259,465.38 is: 358,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,433.54 : 639,520.56 = 259,465.38 : x
  2. Step 2: Convert to fraction form
    463,433.54/639,520.56 = 259,465.38/x
  3. Step 3: Cross multiply
    463,433.54x = 639,520.56 × 259,465.38
  4. Step 4: Simplify right side
    463,433.54x = 165,933,445,118.21
  5. Step 5: Solve for x
    x = 165,933,445,118.21/463,433.54
  6. Step 6: Final answer
    x = 358,052.30

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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.