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Finding the Fourth Proportional to 416,609.52, 624,649.40 and 353,451.40

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Solution

The fourth proportional to 416,609.52, 624,649.40 and 353,451.40 is: 529,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,609.52 : 624,649.40 = 353,451.40 : x
  2. Step 2: Convert to fraction form
    416,609.52/624,649.40 = 353,451.40/x
  3. Step 3: Cross multiply
    416,609.52x = 624,649.40 × 353,451.40
  4. Step 4: Simplify right side
    416,609.52x = 220,783,204,939.16
  5. Step 5: Solve for x
    x = 220,783,204,939.16/416,609.52
  6. Step 6: Final answer
    x = 529,952.38

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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.