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Finding the Fourth Proportional to 473,824.69, 711,069.17 and 273,869.98

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Solution

The fourth proportional to 473,824.69, 711,069.17 and 273,869.98 is: 410,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,824.69 : 711,069.17 = 273,869.98 : x
  2. Step 2: Convert to fraction form
    473,824.69/711,069.17 = 273,869.98/x
  3. Step 3: Cross multiply
    473,824.69x = 711,069.17 × 273,869.98
  4. Step 4: Simplify right side
    473,824.69x = 194,740,496,219.49
  5. Step 5: Solve for x
    x = 194,740,496,219.49/473,824.69
  6. Step 6: Final answer
    x = 410,996.94

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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.