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Finding the Fourth Proportional to 612,180.80, 918,271.20 and 413,115.20

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Solution

The fourth proportional to 612,180.80, 918,271.20 and 413,115.20 is: 619,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,180.80 : 918,271.20 = 413,115.20 : x
  2. Step 2: Convert to fraction form
    612,180.80/918,271.20 = 413,115.20/x
  3. Step 3: Cross multiply
    612,180.80x = 918,271.20 × 413,115.20
  4. Step 4: Simplify right side
    612,180.80x = 379,351,790,442.24
  5. Step 5: Solve for x
    x = 379,351,790,442.24/612,180.80
  6. Step 6: Final answer
    x = 619,672.80

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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.