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Finding the Fourth Proportional to 382,449.36, 573,673.92 and 116,208.96

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Solution

The fourth proportional to 382,449.36, 573,673.92 and 116,208.96 is: 174,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,449.36 : 573,673.92 = 116,208.96 : x
  2. Step 2: Convert to fraction form
    382,449.36/573,673.92 = 116,208.96/x
  3. Step 3: Cross multiply
    382,449.36x = 573,673.92 × 116,208.96
  4. Step 4: Simplify right side
    382,449.36x = 66,666,049,622.32
  5. Step 5: Solve for x
    x = 66,666,049,622.32/382,449.36
  6. Step 6: Final answer
    x = 174,313.40

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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.