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Finding the Fourth Proportional to 382,346.56, 573,520.75 and 116,109.08

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Solution

The fourth proportional to 382,346.56, 573,520.75 and 116,109.08 is: 174,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,346.56 : 573,520.75 = 116,109.08 : x
  2. Step 2: Convert to fraction form
    382,346.56/573,520.75 = 116,109.08/x
  3. Step 3: Cross multiply
    382,346.56x = 573,520.75 × 116,109.08
  4. Step 4: Simplify right side
    382,346.56x = 66,590,966,289.35
  5. Step 5: Solve for x
    x = 66,590,966,289.35/382,346.56
  6. Step 6: Final answer
    x = 174,163.89

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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.