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Finding the Fourth Proportional to 547,844.98, 821,767.48 and 148,485.76

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Solution

The fourth proportional to 547,844.98, 821,767.48 and 148,485.76 is: 222,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,844.98 : 821,767.48 = 148,485.76 : x
  2. Step 2: Convert to fraction form
    547,844.98/821,767.48 = 148,485.76/x
  3. Step 3: Cross multiply
    547,844.98x = 821,767.48 × 148,485.76
  4. Step 4: Simplify right side
    547,844.98x = 122,020,765,401.46
  5. Step 5: Solve for x
    x = 122,020,765,401.46/547,844.98
  6. Step 6: Final answer
    x = 222,728.64

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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.