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Finding the Fourth Proportional to 420,510.60, 629,729.10 and 279,505.80

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Solution

The fourth proportional to 420,510.60, 629,729.10 and 279,505.80 is: 418,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,510.60 : 629,729.10 = 279,505.80 : x
  2. Step 2: Convert to fraction form
    420,510.60/629,729.10 = 279,505.80/x
  3. Step 3: Cross multiply
    420,510.60x = 629,729.10 × 279,505.80
  4. Step 4: Simplify right side
    420,510.60x = 176,012,935,878.78
  5. Step 5: Solve for x
    x = 176,012,935,878.78/420,510.60
  6. Step 6: Final answer
    x = 418,569.56

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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.