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Finding the Fourth Proportional to 419,918.40, 579,487.68 and 228,932.16

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Solution

The fourth proportional to 419,918.40, 579,487.68 and 228,932.16 is: 315,926.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,918.40 : 579,487.68 = 228,932.16 : x
  2. Step 2: Convert to fraction form
    419,918.40/579,487.68 = 228,932.16/x
  3. Step 3: Cross multiply
    419,918.40x = 579,487.68 × 228,932.16
  4. Step 4: Simplify right side
    419,918.40x = 132,663,366,275.79
  5. Step 5: Solve for x
    x = 132,663,366,275.79/419,918.40
  6. Step 6: Final answer
    x = 315,926.54

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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.