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Finding the Fourth Proportional to 463,144.64, 639,095.22 and 259,184.96

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Solution

The fourth proportional to 463,144.64, 639,095.22 and 259,184.96 is: 357,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,144.64 : 639,095.22 = 259,184.96 : x
  2. Step 2: Convert to fraction form
    463,144.64/639,095.22 = 259,184.96/x
  3. Step 3: Cross multiply
    463,144.64x = 639,095.22 × 259,184.96
  4. Step 4: Simplify right side
    463,144.64x = 165,643,869,031.89
  5. Step 5: Solve for x
    x = 165,643,869,031.89/463,144.64
  6. Step 6: Final answer
    x = 357,650.41

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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.