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Finding the Fourth Proportional to 408,096.70, 612,145.05 and 242,208.70

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Solution

The fourth proportional to 408,096.70, 612,145.05 and 242,208.70 is: 363,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,096.70 : 612,145.05 = 242,208.70 : x
  2. Step 2: Convert to fraction form
    408,096.70/612,145.05 = 242,208.70/x
  3. Step 3: Cross multiply
    408,096.70x = 612,145.05 × 242,208.70
  4. Step 4: Simplify right side
    408,096.70x = 148,266,856,771.94
  5. Step 5: Solve for x
    x = 148,266,856,771.94/408,096.70
  6. Step 6: Final answer
    x = 363,313.05

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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.