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Finding the Fourth Proportional to 474,299.52, 711,450.50 and 193,816.77

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Solution

The fourth proportional to 474,299.52, 711,450.50 and 193,816.77 is: 290,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,299.52 : 711,450.50 = 193,816.77 : x
  2. Step 2: Convert to fraction form
    474,299.52/711,450.50 = 193,816.77/x
  3. Step 3: Cross multiply
    474,299.52x = 711,450.50 × 193,816.77
  4. Step 4: Simplify right side
    474,299.52x = 137,891,036,955.80
  5. Step 5: Solve for x
    x = 137,891,036,955.80/474,299.52
  6. Step 6: Final answer
    x = 290,725.65

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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.