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Finding the Fourth Proportional to 410,067.68, 565,893.75 and 228,779.65

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Solution

The fourth proportional to 410,067.68, 565,893.75 and 228,779.65 is: 315,716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,067.68 : 565,893.75 = 228,779.65 : x
  2. Step 2: Convert to fraction form
    410,067.68/565,893.75 = 228,779.65/x
  3. Step 3: Cross multiply
    410,067.68x = 565,893.75 × 228,779.65
  4. Step 4: Simplify right side
    410,067.68x = 129,464,974,062.19
  5. Step 5: Solve for x
    x = 129,464,974,062.19/410,067.68
  6. Step 6: Final answer
    x = 315,716.11

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Why These Related Problems?

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