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Finding the Fourth Proportional to 473,694.40, 710,944.80 and 193,412.80

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Solution

The fourth proportional to 473,694.40, 710,944.80 and 193,412.80 is: 290,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,694.40 : 710,944.80 = 193,412.80 : x
  2. Step 2: Convert to fraction form
    473,694.40/710,944.80 = 193,412.80/x
  3. Step 3: Cross multiply
    473,694.40x = 710,944.80 × 193,412.80
  4. Step 4: Simplify right side
    473,694.40x = 137,505,824,413.44
  5. Step 5: Solve for x
    x = 137,505,824,413.44/473,694.40
  6. Step 6: Final answer
    x = 290,283.83

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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.