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Finding the Fourth Proportional to 382,068.40, 573,102.60 and 204,921.40

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Solution

The fourth proportional to 382,068.40, 573,102.60 and 204,921.40 is: 307,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,068.40 : 573,102.60 = 204,921.40 : x
  2. Step 2: Convert to fraction form
    382,068.40/573,102.60 = 204,921.40/x
  3. Step 3: Cross multiply
    382,068.40x = 573,102.60 × 204,921.40
  4. Step 4: Simplify right side
    382,068.40x = 117,440,987,135.64
  5. Step 5: Solve for x
    x = 117,440,987,135.64/382,068.40
  6. Step 6: Final answer
    x = 307,382.10

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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.