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Finding the Fourth Proportional to 413,941.80, 620,912.70 and 302,404.80

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Solution

The fourth proportional to 413,941.80, 620,912.70 and 302,404.80 is: 453,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,941.80 : 620,912.70 = 302,404.80 : x
  2. Step 2: Convert to fraction form
    413,941.80/620,912.70 = 302,404.80/x
  3. Step 3: Cross multiply
    413,941.80x = 620,912.70 × 302,404.80
  4. Step 4: Simplify right side
    413,941.80x = 187,766,980,860.96
  5. Step 5: Solve for x
    x = 187,766,980,860.96/413,941.80
  6. Step 6: Final answer
    x = 453,607.20

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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.