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Finding the Fourth Proportional to 382,674.96, 528,091.44 and 212,909.04

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Solution

The fourth proportional to 382,674.96, 528,091.44 and 212,909.04 is: 293,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,674.96 : 528,091.44 = 212,909.04 : x
  2. Step 2: Convert to fraction form
    382,674.96/528,091.44 = 212,909.04/x
  3. Step 3: Cross multiply
    382,674.96x = 528,091.44 × 212,909.04
  4. Step 4: Simplify right side
    382,674.96x = 112,435,441,522.62
  5. Step 5: Solve for x
    x = 112,435,441,522.62/382,674.96
  6. Step 6: Final answer
    x = 293,814.47

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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.