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Finding the Fourth Proportional to 516,536.76, 775,038.69 and 263,686.77

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Solution

The fourth proportional to 516,536.76, 775,038.69 and 263,686.77 is: 395,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,536.76 : 775,038.69 = 263,686.77 : x
  2. Step 2: Convert to fraction form
    516,536.76/775,038.69 = 263,686.77/x
  3. Step 3: Cross multiply
    516,536.76x = 775,038.69 × 263,686.77
  4. Step 4: Simplify right side
    516,536.76x = 204,367,448,791.13
  5. Step 5: Solve for x
    x = 204,367,448,791.13/516,536.76
  6. Step 6: Final answer
    x = 395,649.38

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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.