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Finding the Fourth Proportional to 410,039.33, 565,854.53 and 228,751.27

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Solution

The fourth proportional to 410,039.33, 565,854.53 and 228,751.27 is: 315,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,039.33 : 565,854.53 = 228,751.27 : x
  2. Step 2: Convert to fraction form
    410,039.33/565,854.53 = 228,751.27/x
  3. Step 3: Cross multiply
    410,039.33x = 565,854.53 × 228,751.27
  4. Step 4: Simplify right side
    410,039.33x = 129,439,939,814.36
  5. Step 5: Solve for x
    x = 129,439,939,814.36/410,039.33
  6. Step 6: Final answer
    x = 315,676.89

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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.