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Finding the Fourth Proportional to 382,541.67, 573,566.47 and 182,857.64

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Solution

The fourth proportional to 382,541.67, 573,566.47 and 182,857.64 is: 274,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,541.67 : 573,566.47 = 182,857.64 : x
  2. Step 2: Convert to fraction form
    382,541.67/573,566.47 = 182,857.64/x
  3. Step 3: Cross multiply
    382,541.67x = 573,566.47 × 182,857.64
  4. Step 4: Simplify right side
    382,541.67x = 104,881,007,762.35
  5. Step 5: Solve for x
    x = 104,881,007,762.35/382,541.67
  6. Step 6: Final answer
    x = 274,168.84

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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.