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Finding the Fourth Proportional to 612,141.20, 918,211.80 and 546,822.80

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Solution

The fourth proportional to 612,141.20, 918,211.80 and 546,822.80 is: 820,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,141.20 : 918,211.80 = 546,822.80 : x
  2. Step 2: Convert to fraction form
    612,141.20/918,211.80 = 546,822.80/x
  3. Step 3: Cross multiply
    612,141.20x = 918,211.80 × 546,822.80
  4. Step 4: Simplify right side
    612,141.20x = 502,099,147,469.04
  5. Step 5: Solve for x
    x = 502,099,147,469.04/612,141.20
  6. Step 6: Final answer
    x = 820,234.20

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Why These Related Problems?

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