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Finding the Fourth Proportional to 304,811.70, 456,893.55 and 146,937.30

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Solution

The fourth proportional to 304,811.70, 456,893.55 and 146,937.30 is: 220,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,811.70 : 456,893.55 = 146,937.30 : x
  2. Step 2: Convert to fraction form
    304,811.70/456,893.55 = 146,937.30/x
  3. Step 3: Cross multiply
    304,811.70x = 456,893.55 × 146,937.30
  4. Step 4: Simplify right side
    304,811.70x = 67,134,704,624.42
  5. Step 5: Solve for x
    x = 67,134,704,624.42/304,811.70
  6. Step 6: Final answer
    x = 220,249.76

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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.