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Finding the Fourth Proportional to 412,938.20, 619,868.10 and 385,866.20

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Solution

The fourth proportional to 412,938.20, 619,868.10 and 385,866.20 is: 579,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,938.20 : 619,868.10 = 385,866.20 : x
  2. Step 2: Convert to fraction form
    412,938.20/619,868.10 = 385,866.20/x
  3. Step 3: Cross multiply
    412,938.20x = 619,868.10 × 385,866.20
  4. Step 4: Simplify right side
    412,938.20x = 239,186,148,248.22
  5. Step 5: Solve for x
    x = 239,186,148,248.22/412,938.20
  6. Step 6: Final answer
    x = 579,229.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.