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Finding the Fourth Proportional to 1,253,976.83, 1,731,205.35 and 825,502.52

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Solution

The fourth proportional to 1,253,976.83, 1,731,205.35 and 825,502.52 is: 1,139,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,976.83 : 1,731,205.35 = 825,502.52 : x
  2. Step 2: Convert to fraction form
    1,253,976.83/1,731,205.35 = 825,502.52/x
  3. Step 3: Cross multiply
    1,253,976.83x = 1,731,205.35 × 825,502.52
  4. Step 4: Simplify right side
    1,253,976.83x = 1,429,114,385,454.25
  5. Step 5: Solve for x
    x = 1,429,114,385,454.25/1,253,976.83
  6. Step 6: Final answer
    x = 1,139,665.71

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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.