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Finding the Fourth Proportional to 472,472.26, 709,040.55 and 427,299.77

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Solution

The fourth proportional to 472,472.26, 709,040.55 and 427,299.77 is: 641,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,472.26 : 709,040.55 = 427,299.77 : x
  2. Step 2: Convert to fraction form
    472,472.26/709,040.55 = 427,299.77/x
  3. Step 3: Cross multiply
    472,472.26x = 709,040.55 × 427,299.77
  4. Step 4: Simplify right side
    472,472.26x = 302,972,865,708.28
  5. Step 5: Solve for x
    x = 302,972,865,708.28/472,472.26
  6. Step 6: Final answer
    x = 641,250.06

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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.