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Finding the Fourth Proportional to 402,426.80, 603,640.20 and 165,690.80

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Solution

The fourth proportional to 402,426.80, 603,640.20 and 165,690.80 is: 248,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,426.80 : 603,640.20 = 165,690.80 : x
  2. Step 2: Convert to fraction form
    402,426.80/603,640.20 = 165,690.80/x
  3. Step 3: Cross multiply
    402,426.80x = 603,640.20 × 165,690.80
  4. Step 4: Simplify right side
    402,426.80x = 100,017,627,650.16
  5. Step 5: Solve for x
    x = 100,017,627,650.16/402,426.80
  6. Step 6: Final answer
    x = 248,536.20

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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.