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Finding the Fourth Proportional to 409,929.20, 614,893.80 and 251,644.40

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Solution

The fourth proportional to 409,929.20, 614,893.80 and 251,644.40 is: 377,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,929.20 : 614,893.80 = 251,644.40 : x
  2. Step 2: Convert to fraction form
    409,929.20/614,893.80 = 251,644.40/x
  3. Step 3: Cross multiply
    409,929.20x = 614,893.80 × 251,644.40
  4. Step 4: Simplify right side
    409,929.20x = 154,734,581,364.72
  5. Step 5: Solve for x
    x = 154,734,581,364.72/409,929.20
  6. Step 6: Final answer
    x = 377,466.60

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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.