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Finding the Fourth Proportional to 412,208.48, 568,820.40 and 228,434.72

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Solution

The fourth proportional to 412,208.48, 568,820.40 and 228,434.72 is: 315,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,208.48 : 568,820.40 = 228,434.72 : x
  2. Step 2: Convert to fraction form
    412,208.48/568,820.40 = 228,434.72/x
  3. Step 3: Cross multiply
    412,208.48x = 568,820.40 × 228,434.72
  4. Step 4: Simplify right side
    412,208.48x = 129,938,328,804.29
  5. Step 5: Solve for x
    x = 129,938,328,804.29/412,208.48
  6. Step 6: Final answer
    x = 315,224.78

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