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Finding the Fourth Proportional to 311,814.60, 467,612.55 and 162,005.10

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Solution

The fourth proportional to 311,814.60, 467,612.55 and 162,005.10 is: 242,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,814.60 : 467,612.55 = 162,005.10 : x
  2. Step 2: Convert to fraction form
    311,814.60/467,612.55 = 162,005.10/x
  3. Step 3: Cross multiply
    311,814.60x = 467,612.55 × 162,005.10
  4. Step 4: Simplify right side
    311,814.60x = 75,755,617,924.01
  5. Step 5: Solve for x
    x = 75,755,617,924.01/311,814.60
  6. Step 6: Final answer
    x = 242,950.84

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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.