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Finding the Fourth Proportional to 312,076.80, 468,115.20 and 200,102.40

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Solution

The fourth proportional to 312,076.80, 468,115.20 and 200,102.40 is: 300,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,076.80 : 468,115.20 = 200,102.40 : x
  2. Step 2: Convert to fraction form
    312,076.80/468,115.20 = 200,102.40/x
  3. Step 3: Cross multiply
    312,076.80x = 468,115.20 × 200,102.40
  4. Step 4: Simplify right side
    312,076.80x = 93,670,974,996.48
  5. Step 5: Solve for x
    x = 93,670,974,996.48/312,076.80
  6. Step 6: Final answer
    x = 300,153.60

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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.