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Finding the Fourth Proportional to 436,205.80, 654,308.70 and 310,234.60

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Solution

The fourth proportional to 436,205.80, 654,308.70 and 310,234.60 is: 465,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,205.80 : 654,308.70 = 310,234.60 : x
  2. Step 2: Convert to fraction form
    436,205.80/654,308.70 = 310,234.60/x
  3. Step 3: Cross multiply
    436,205.80x = 654,308.70 × 310,234.60
  4. Step 4: Simplify right side
    436,205.80x = 202,989,197,821.02
  5. Step 5: Solve for x
    x = 202,989,197,821.02/436,205.80
  6. Step 6: Final answer
    x = 465,351.90

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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.