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Finding the Fourth Proportional to 419,244.96, 578,557.17 and 228,256.68

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Solution

The fourth proportional to 419,244.96, 578,557.17 and 228,256.68 is: 314,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,244.96 : 578,557.17 = 228,256.68 : x
  2. Step 2: Convert to fraction form
    419,244.96/578,557.17 = 228,256.68/x
  3. Step 3: Cross multiply
    419,244.96x = 578,557.17 × 228,256.68
  4. Step 4: Simplify right side
    419,244.96x = 132,059,538,814.40
  5. Step 5: Solve for x
    x = 132,059,538,814.40/419,244.96
  6. Step 6: Final answer
    x = 314,993.74

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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.