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Finding the Fourth Proportional to 382,154.40, 573,085.80 and 115,826.40

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Solution

The fourth proportional to 382,154.40, 573,085.80 and 115,826.40 is: 173,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,154.40 : 573,085.80 = 115,826.40 : x
  2. Step 2: Convert to fraction form
    382,154.40/573,085.80 = 115,826.40/x
  3. Step 3: Cross multiply
    382,154.40x = 573,085.80 × 115,826.40
  4. Step 4: Simplify right side
    382,154.40x = 66,378,465,105.12
  5. Step 5: Solve for x
    x = 66,378,465,105.12/382,154.40
  6. Step 6: Final answer
    x = 173,695.41

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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.