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Finding the Fourth Proportional to 473,213.61, 653,036.27 and 303,448.41

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Solution

The fourth proportional to 473,213.61, 653,036.27 and 303,448.41 is: 418,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,213.61 : 653,036.27 = 303,448.41 : x
  2. Step 2: Convert to fraction form
    473,213.61/653,036.27 = 303,448.41/x
  3. Step 3: Cross multiply
    473,213.61x = 653,036.27 × 303,448.41
  4. Step 4: Simplify right side
    473,213.61x = 198,162,816,286.59
  5. Step 5: Solve for x
    x = 198,162,816,286.59/473,213.61
  6. Step 6: Final answer
    x = 418,759.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.