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Finding the Fourth Proportional to 727,820.96, 1,004,379.54 and 405,524.12

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Solution

The fourth proportional to 727,820.96, 1,004,379.54 and 405,524.12 is: 559,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,820.96 : 1,004,379.54 = 405,524.12 : x
  2. Step 2: Convert to fraction form
    727,820.96/1,004,379.54 = 405,524.12/x
  3. Step 3: Cross multiply
    727,820.96x = 1,004,379.54 × 405,524.12
  4. Step 4: Simplify right side
    727,820.96x = 407,300,129,104.51
  5. Step 5: Solve for x
    x = 407,300,129,104.51/727,820.96
  6. Step 6: Final answer
    x = 559,615.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.