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Finding the Fourth Proportional to 419,423.13, 578,810.66 and 228,436.54

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Solution

The fourth proportional to 419,423.13, 578,810.66 and 228,436.54 is: 315,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,423.13 : 578,810.66 = 228,436.54 : x
  2. Step 2: Convert to fraction form
    419,423.13/578,810.66 = 228,436.54/x
  3. Step 3: Cross multiply
    419,423.13x = 578,810.66 × 228,436.54
  4. Step 4: Simplify right side
    419,423.13x = 132,221,501,896.31
  5. Step 5: Solve for x
    x = 132,221,501,896.31/419,423.13
  6. Step 6: Final answer
    x = 315,246.09

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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.