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Finding the Fourth Proportional to 431,941.96, 648,109.88 and 221,727.64

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Solution

The fourth proportional to 431,941.96, 648,109.88 and 221,727.64 is: 332,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,941.96 : 648,109.88 = 221,727.64 : x
  2. Step 2: Convert to fraction form
    431,941.96/648,109.88 = 221,727.64/x
  3. Step 3: Cross multiply
    431,941.96x = 648,109.88 × 221,727.64
  4. Step 4: Simplify right side
    431,941.96x = 143,703,874,153.08
  5. Step 5: Solve for x
    x = 143,703,874,153.08/431,941.96
  6. Step 6: Final answer
    x = 332,692.55

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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.