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Finding the Fourth Proportional to 413,821.80, 620,732.70 and 411,197.40

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Solution

The fourth proportional to 413,821.80, 620,732.70 and 411,197.40 is: 616,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,821.80 : 620,732.70 = 411,197.40 : x
  2. Step 2: Convert to fraction form
    413,821.80/620,732.70 = 411,197.40/x
  3. Step 3: Cross multiply
    413,821.80x = 620,732.70 × 411,197.40
  4. Step 4: Simplify right side
    413,821.80x = 255,243,672,334.98
  5. Step 5: Solve for x
    x = 255,243,672,334.98/413,821.80
  6. Step 6: Final answer
    x = 616,796.10

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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.