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Finding the Fourth Proportional to 473,067.36, 709,224 and 273,160.80

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Solution

The fourth proportional to 473,067.36, 709,224 and 273,160.80 is: 409,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,067.36 : 709,224 = 273,160.80 : x
  2. Step 2: Convert to fraction form
    473,067.36/709,224 = 273,160.80/x
  3. Step 3: Cross multiply
    473,067.36x = 709,224 × 273,160.80
  4. Step 4: Simplify right side
    473,067.36x = 193,732,195,219.20
  5. Step 5: Solve for x
    x = 193,732,195,219.20/473,067.36
  6. Step 6: Final answer
    x = 409,523.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.