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Finding the Fourth Proportional to 612,154.80, 918,232.20 and 413,089.20

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Solution

The fourth proportional to 612,154.80, 918,232.20 and 413,089.20 is: 619,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,154.80 : 918,232.20 = 413,089.20 : x
  2. Step 2: Convert to fraction form
    612,154.80/918,232.20 = 413,089.20/x
  3. Step 3: Cross multiply
    612,154.80x = 918,232.20 × 413,089.20
  4. Step 4: Simplify right side
    612,154.80x = 379,311,804,912.24
  5. Step 5: Solve for x
    x = 379,311,804,912.24/612,154.80
  6. Step 6: Final answer
    x = 619,633.80

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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.