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Finding the Fourth Proportional to 735,950.12, 1,015,639.92 and 413,659.22

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Solution

The fourth proportional to 735,950.12, 1,015,639.92 and 413,659.22 is: 570,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,950.12 : 1,015,639.92 = 413,659.22 : x
  2. Step 2: Convert to fraction form
    735,950.12/1,015,639.92 = 413,659.22/x
  3. Step 3: Cross multiply
    735,950.12x = 1,015,639.92 × 413,659.22
  4. Step 4: Simplify right side
    735,950.12x = 420,128,817,108.06
  5. Step 5: Solve for x
    x = 420,128,817,108.06/735,950.12
  6. Step 6: Final answer
    x = 570,865.89

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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.