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Finding the Fourth Proportional to 382,056.05, 573,084.08 and 204,909.05

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Solution

The fourth proportional to 382,056.05, 573,084.08 and 204,909.05 is: 307,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,056.05 : 573,084.08 = 204,909.05 : x
  2. Step 2: Convert to fraction form
    382,056.05/573,084.08 = 204,909.05/x
  3. Step 3: Cross multiply
    382,056.05x = 573,084.08 × 204,909.05
  4. Step 4: Simplify right side
    382,056.05x = 117,430,113,378.38
  5. Step 5: Solve for x
    x = 117,430,113,378.38/382,056.05
  6. Step 6: Final answer
    x = 307,363.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.