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Finding the Fourth Proportional to 322,463.70, 483,696.72 and 97,826.10

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Solution

The fourth proportional to 322,463.70, 483,696.72 and 97,826.10 is: 146,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,463.70 : 483,696.72 = 97,826.10 : x
  2. Step 2: Convert to fraction form
    322,463.70/483,696.72 = 97,826.10/x
  3. Step 3: Cross multiply
    322,463.70x = 483,696.72 × 97,826.10
  4. Step 4: Simplify right side
    322,463.70x = 47,318,163,700.39
  5. Step 5: Solve for x
    x = 47,318,163,700.39/322,463.70
  6. Step 6: Final answer
    x = 146,739.50

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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.