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Finding the Fourth Proportional to 547,433.84, 820,368.84 and 247,168.64

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Solution

The fourth proportional to 547,433.84, 820,368.84 and 247,168.64 is: 370,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,433.84 : 820,368.84 = 247,168.64 : x
  2. Step 2: Convert to fraction form
    547,433.84/820,368.84 = 247,168.64/x
  3. Step 3: Cross multiply
    547,433.84x = 820,368.84 × 247,168.64
  4. Step 4: Simplify right side
    547,433.84x = 202,769,450,481.18
  5. Step 5: Solve for x
    x = 202,769,450,481.18/547,433.84
  6. Step 6: Final answer
    x = 370,399.92

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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.