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Finding the Fourth Proportional to 365,273.40, 547,953.84 and 154,884

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Solution

The fourth proportional to 365,273.40, 547,953.84 and 154,884 is: 232,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,273.40 : 547,953.84 = 154,884 : x
  2. Step 2: Convert to fraction form
    365,273.40/547,953.84 = 154,884/x
  3. Step 3: Cross multiply
    365,273.40x = 547,953.84 × 154,884
  4. Step 4: Simplify right side
    365,273.40x = 84,869,282,554.56
  5. Step 5: Solve for x
    x = 84,869,282,554.56/365,273.40
  6. Step 6: Final answer
    x = 232,344.55

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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.