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Finding the Fourth Proportional to 471,153.85, 650,234.45 and 277,563.35

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Solution

The fourth proportional to 471,153.85, 650,234.45 and 277,563.35 is: 383,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,153.85 : 650,234.45 = 277,563.35 : x
  2. Step 2: Convert to fraction form
    471,153.85/650,234.45 = 277,563.35/x
  3. Step 3: Cross multiply
    471,153.85x = 650,234.45 × 277,563.35
  4. Step 4: Simplify right side
    471,153.85x = 180,481,252,227.41
  5. Step 5: Solve for x
    x = 180,481,252,227.41/471,153.85
  6. Step 6: Final answer
    x = 383,062.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.