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Finding the Fourth Proportional to 382,143.40, 573,069.30 and 115,815.40

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Solution

The fourth proportional to 382,143.40, 573,069.30 and 115,815.40 is: 173,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,143.40 : 573,069.30 = 115,815.40 : x
  2. Step 2: Convert to fraction form
    382,143.40/573,069.30 = 115,815.40/x
  3. Step 3: Cross multiply
    382,143.40x = 573,069.30 × 115,815.40
  4. Step 4: Simplify right side
    382,143.40x = 66,370,250,207.22
  5. Step 5: Solve for x
    x = 66,370,250,207.22/382,143.40
  6. Step 6: Final answer
    x = 173,678.91

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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.