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Finding the Fourth Proportional to 419,243.40, 578,558.10 and 228,256.20

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Solution

The fourth proportional to 419,243.40, 578,558.10 and 228,256.20 is: 314,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,243.40 : 578,558.10 = 228,256.20 : x
  2. Step 2: Convert to fraction form
    419,243.40/578,558.10 = 228,256.20/x
  3. Step 3: Cross multiply
    419,243.40x = 578,558.10 × 228,256.20
  4. Step 4: Simplify right side
    419,243.40x = 132,059,473,385.22
  5. Step 5: Solve for x
    x = 132,059,473,385.22/419,243.40
  6. Step 6: Final answer
    x = 314,994.76

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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.