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Finding the Fourth Proportional to 543,152.40, 814,724.55 and 164,072.40

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Solution

The fourth proportional to 543,152.40, 814,724.55 and 164,072.40 is: 246,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,152.40 : 814,724.55 = 164,072.40 : x
  2. Step 2: Convert to fraction form
    543,152.40/814,724.55 = 164,072.40/x
  3. Step 3: Cross multiply
    543,152.40x = 814,724.55 × 164,072.40
  4. Step 4: Simplify right side
    543,152.40x = 133,673,812,257.42
  5. Step 5: Solve for x
    x = 133,673,812,257.42/543,152.40
  6. Step 6: Final answer
    x = 246,107.38

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1.5x scale

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.