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Finding the Fourth Proportional to 412,302.80, 618,454.20 and 349,317.20

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Solution

The fourth proportional to 412,302.80, 618,454.20 and 349,317.20 is: 523,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,302.80 : 618,454.20 = 349,317.20 : x
  2. Step 2: Convert to fraction form
    412,302.80/618,454.20 = 349,317.20/x
  3. Step 3: Cross multiply
    412,302.80x = 618,454.20 × 349,317.20
  4. Step 4: Simplify right side
    412,302.80x = 216,036,689,472.24
  5. Step 5: Solve for x
    x = 216,036,689,472.24/412,302.80
  6. Step 6: Final answer
    x = 523,975.80

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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.