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Finding the Fourth Proportional to 547,872.84, 821,809.25 and 148,513.61

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Solution

The fourth proportional to 547,872.84, 821,809.25 and 148,513.61 is: 222,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,872.84 : 821,809.25 = 148,513.61 : x
  2. Step 2: Convert to fraction form
    547,872.84/821,809.25 = 148,513.61/x
  3. Step 3: Cross multiply
    547,872.84x = 821,809.25 × 148,513.61
  4. Step 4: Simplify right side
    547,872.84x = 122,049,853,597.28
  5. Step 5: Solve for x
    x = 122,049,853,597.28/547,872.84
  6. Step 6: Final answer
    x = 222,770.40

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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.