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Finding the Fourth Proportional to 419,270.85, 578,588.00 and 228,284.24

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Solution

The fourth proportional to 419,270.85, 578,588.00 and 228,284.24 is: 315,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,270.85 : 578,588.00 = 228,284.24 : x
  2. Step 2: Convert to fraction form
    419,270.85/578,588.00 = 228,284.24/x
  3. Step 3: Cross multiply
    419,270.85x = 578,588.00 × 228,284.24
  4. Step 4: Simplify right side
    419,270.85x = 132,082,517,818.76
  5. Step 5: Solve for x
    x = 132,082,517,818.76/419,270.85
  6. Step 6: Final answer
    x = 315,029.10

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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.