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Finding the Fourth Proportional to 365,274.40, 547,955.34 and 154,885

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Solution

The fourth proportional to 365,274.40, 547,955.34 and 154,885 is: 232,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,274.40 : 547,955.34 = 154,885 : x
  2. Step 2: Convert to fraction form
    365,274.40/547,955.34 = 154,885/x
  3. Step 3: Cross multiply
    365,274.40x = 547,955.34 × 154,885
  4. Step 4: Simplify right side
    365,274.40x = 84,870,062,835.90
  5. Step 5: Solve for x
    x = 84,870,062,835.90/365,274.40
  6. Step 6: Final answer
    x = 232,346.05

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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.