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Finding the Fourth Proportional to 436,209.80, 654,314.70 and 310,238.60

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Solution

The fourth proportional to 436,209.80, 654,314.70 and 310,238.60 is: 465,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,209.80 : 654,314.70 = 310,238.60 : x
  2. Step 2: Convert to fraction form
    436,209.80/654,314.70 = 310,238.60/x
  3. Step 3: Cross multiply
    436,209.80x = 654,314.70 × 310,238.60
  4. Step 4: Simplify right side
    436,209.80x = 202,993,676,487.42
  5. Step 5: Solve for x
    x = 202,993,676,487.42/436,209.80
  6. Step 6: Final answer
    x = 465,357.90

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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.