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Finding the Fourth Proportional to 419,406.29, 578,787.27 and 228,419.53

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Solution

The fourth proportional to 419,406.29, 578,787.27 and 228,419.53 is: 315,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,406.29 : 578,787.27 = 228,419.53 : x
  2. Step 2: Convert to fraction form
    419,406.29/578,787.27 = 228,419.53/x
  3. Step 3: Cross multiply
    419,406.29x = 578,787.27 × 228,419.53
  4. Step 4: Simplify right side
    419,406.29x = 132,206,316,183.38
  5. Step 5: Solve for x
    x = 132,206,316,183.38/419,406.29
  6. Step 6: Final answer
    x = 315,222.54

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1.5x scale

Why These Related Problems?

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