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Finding the Fourth Proportional to 415,228.60, 621,806.10 and 274,223.80

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Solution

The fourth proportional to 415,228.60, 621,806.10 and 274,223.80 is: 410,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,228.60 : 621,806.10 = 274,223.80 : x
  2. Step 2: Convert to fraction form
    415,228.60/621,806.10 = 274,223.80/x
  3. Step 3: Cross multiply
    415,228.60x = 621,806.10 × 274,223.80
  4. Step 4: Simplify right side
    415,228.60x = 170,514,031,605.18
  5. Step 5: Solve for x
    x = 170,514,031,605.18/415,228.60
  6. Step 6: Final answer
    x = 410,650.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.