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Finding the Fourth Proportional to 547,611.30, 820,301.54 and 446,768.73

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Solution

The fourth proportional to 547,611.30, 820,301.54 and 446,768.73 is: 669,243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,611.30 : 820,301.54 = 446,768.73 : x
  2. Step 2: Convert to fraction form
    547,611.30/820,301.54 = 446,768.73/x
  3. Step 3: Cross multiply
    547,611.30x = 820,301.54 × 446,768.73
  4. Step 4: Simplify right side
    547,611.30x = 366,485,075,009.00
  5. Step 5: Solve for x
    x = 366,485,075,009.00/547,611.30
  6. Step 6: Final answer
    x = 669,243.08

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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.