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Finding the Fourth Proportional to 332,983, 499,474.98 and 135,991

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Solution

The fourth proportional to 332,983, 499,474.98 and 135,991 is: 203,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,983 : 499,474.98 = 135,991 : x
  2. Step 2: Convert to fraction form
    332,983/499,474.98 = 135,991/x
  3. Step 3: Cross multiply
    332,983x = 499,474.98 × 135,991
  4. Step 4: Simplify right side
    332,983x = 67,924,102,005.18
  5. Step 5: Solve for x
    x = 67,924,102,005.18/332,983
  6. Step 6: Final answer
    x = 203,986.70

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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.