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Finding the Fourth Proportional to 382,642.60, 573,964.44 and 182,916.04

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Solution

The fourth proportional to 382,642.60, 573,964.44 and 182,916.04 is: 274,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,642.60 : 573,964.44 = 182,916.04 : x
  2. Step 2: Convert to fraction form
    382,642.60/573,964.44 = 182,916.04/x
  3. Step 3: Cross multiply
    382,642.60x = 573,964.44 × 182,916.04
  4. Step 4: Simplify right side
    382,642.60x = 104,987,302,465.62
  5. Step 5: Solve for x
    x = 104,987,302,465.62/382,642.60
  6. Step 6: Final answer
    x = 274,374.32

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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.