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Finding the Fourth Proportional to 463,084.86, 639,074.70 and 269,477.04

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Solution

The fourth proportional to 463,084.86, 639,074.70 and 269,477.04 is: 371,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,084.86 : 639,074.70 = 269,477.04 : x
  2. Step 2: Convert to fraction form
    463,084.86/639,074.70 = 269,477.04/x
  3. Step 3: Cross multiply
    463,084.86x = 639,074.70 × 269,477.04
  4. Step 4: Simplify right side
    463,084.86x = 172,215,958,494.89
  5. Step 5: Solve for x
    x = 172,215,958,494.89/463,084.86
  6. Step 6: Final answer
    x = 371,888.55

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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.