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Finding the Fourth Proportional to 304,893.83, 457,496.87 and 145,150.49

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Solution

The fourth proportional to 304,893.83, 457,496.87 and 145,150.49 is: 217,800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,893.83 : 457,496.87 = 145,150.49 : x
  2. Step 2: Convert to fraction form
    304,893.83/457,496.87 = 145,150.49/x
  3. Step 3: Cross multiply
    304,893.83x = 457,496.87 × 145,150.49
  4. Step 4: Simplify right side
    304,893.83x = 66,405,894,853.97
  5. Step 5: Solve for x
    x = 66,405,894,853.97/304,893.83
  6. Step 6: Final answer
    x = 217,800.06

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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.