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Finding the Fourth Proportional to 382,443.64, 573,731.10 and 116,231.08

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Solution

The fourth proportional to 382,443.64, 573,731.10 and 116,231.08 is: 174,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,443.64 : 573,731.10 = 116,231.08 : x
  2. Step 2: Convert to fraction form
    382,443.64/573,731.10 = 116,231.08/x
  3. Step 3: Cross multiply
    382,443.64x = 573,731.10 × 116,231.08
  4. Step 4: Simplify right side
    382,443.64x = 66,685,385,382.59
  5. Step 5: Solve for x
    x = 66,685,385,382.59/382,443.64
  6. Step 6: Final answer
    x = 174,366.57

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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.