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Finding the Fourth Proportional to 467,907.62, 701,956.20 and 152,279.78

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Solution

The fourth proportional to 467,907.62, 701,956.20 and 152,279.78 is: 228,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,907.62 : 701,956.20 = 152,279.78 : x
  2. Step 2: Convert to fraction form
    467,907.62/701,956.20 = 152,279.78/x
  3. Step 3: Cross multiply
    467,907.62x = 701,956.20 × 152,279.78
  4. Step 4: Simplify right side
    467,907.62x = 106,893,735,705.64
  5. Step 5: Solve for x
    x = 106,893,735,705.64/467,907.62
  6. Step 6: Final answer
    x = 228,450.51

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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.