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Finding the Fourth Proportional to 306,714.62, 459,698.90 and 164,209.70

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Solution

The fourth proportional to 306,714.62, 459,698.90 and 164,209.70 is: 246,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,714.62 : 459,698.90 = 164,209.70 : x
  2. Step 2: Convert to fraction form
    306,714.62/459,698.90 = 164,209.70/x
  3. Step 3: Cross multiply
    306,714.62x = 459,698.90 × 164,209.70
  4. Step 4: Simplify right side
    306,714.62x = 75,487,015,339.79
  5. Step 5: Solve for x
    x = 75,487,015,339.79/306,714.62
  6. Step 6: Final answer
    x = 246,114.83

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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.