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Finding the Fourth Proportional to 382,340.64, 573,473.88 and 116,103.46

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Solution

The fourth proportional to 382,340.64, 573,473.88 and 116,103.46 is: 174,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,340.64 : 573,473.88 = 116,103.46 : x
  2. Step 2: Convert to fraction form
    382,340.64/573,473.88 = 116,103.46/x
  3. Step 3: Cross multiply
    382,340.64x = 573,473.88 × 116,103.46
  4. Step 4: Simplify right side
    382,340.64x = 66,582,301,687.62
  5. Step 5: Solve for x
    x = 66,582,301,687.62/382,340.64
  6. Step 6: Final answer
    x = 174,143.93

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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.