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Finding the Fourth Proportional to 420,005.49, 629,811.19 and 153,579.70

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Solution

The fourth proportional to 420,005.49, 629,811.19 and 153,579.70 is: 230,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,005.49 : 629,811.19 = 153,579.70 : x
  2. Step 2: Convert to fraction form
    420,005.49/629,811.19 = 153,579.70/x
  3. Step 3: Cross multiply
    420,005.49x = 629,811.19 × 153,579.70
  4. Step 4: Simplify right side
    420,005.49x = 96,726,213,616.84
  5. Step 5: Solve for x
    x = 96,726,213,616.84/420,005.49
  6. Step 6: Final answer
    x = 230,297.50

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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.