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Finding the Fourth Proportional to 727,755.80, 1,091,633.70 and 412,827.80

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Solution

The fourth proportional to 727,755.80, 1,091,633.70 and 412,827.80 is: 619,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,755.80 : 1,091,633.70 = 412,827.80 : x
  2. Step 2: Convert to fraction form
    727,755.80/1,091,633.70 = 412,827.80/x
  3. Step 3: Cross multiply
    727,755.80x = 1,091,633.70 × 412,827.80
  4. Step 4: Simplify right side
    727,755.80x = 450,656,738,776.86
  5. Step 5: Solve for x
    x = 450,656,738,776.86/727,755.80
  6. Step 6: Final answer
    x = 619,241.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.