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Finding the Fourth Proportional to 420,635.82, 629,947.86 and 242,603.09

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Solution

The fourth proportional to 420,635.82, 629,947.86 and 242,603.09 is: 363,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,635.82 : 629,947.86 = 242,603.09 : x
  2. Step 2: Convert to fraction form
    420,635.82/629,947.86 = 242,603.09/x
  3. Step 3: Cross multiply
    420,635.82x = 629,947.86 × 242,603.09
  4. Step 4: Simplify right side
    420,635.82x = 152,827,294,225.15
  5. Step 5: Solve for x
    x = 152,827,294,225.15/420,635.82
  6. Step 6: Final answer
    x = 363,324.49

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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.