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Finding the Fourth Proportional to 382,892.44, 574,407.06 and 130,159.65

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Solution

The fourth proportional to 382,892.44, 574,407.06 and 130,159.65 is: 195,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,892.44 : 574,407.06 = 130,159.65 : x
  2. Step 2: Convert to fraction form
    382,892.44/574,407.06 = 130,159.65/x
  3. Step 3: Cross multiply
    382,892.44x = 574,407.06 × 130,159.65
  4. Step 4: Simplify right side
    382,892.44x = 74,764,621,887.13
  5. Step 5: Solve for x
    x = 74,764,621,887.13/382,892.44
  6. Step 6: Final answer
    x = 195,262.73

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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.