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Finding the Fourth Proportional to 332,209.35, 458,289.50 and 217,437.48

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Solution

The fourth proportional to 332,209.35, 458,289.50 and 217,437.48 is: 299,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,209.35 : 458,289.50 = 217,437.48 : x
  2. Step 2: Convert to fraction form
    332,209.35/458,289.50 = 217,437.48/x
  3. Step 3: Cross multiply
    332,209.35x = 458,289.50 × 217,437.48
  4. Step 4: Simplify right side
    332,209.35x = 99,649,312,903.27
  5. Step 5: Solve for x
    x = 99,649,312,903.27/332,209.35
  6. Step 6: Final answer
    x = 299,959.39

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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.