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Finding the Fourth Proportional to 329,105.36, 493,000.32 and 151,368.68

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Solution

The fourth proportional to 329,105.36, 493,000.32 and 151,368.68 is: 226,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,105.36 : 493,000.32 = 151,368.68 : x
  2. Step 2: Convert to fraction form
    329,105.36/493,000.32 = 151,368.68/x
  3. Step 3: Cross multiply
    329,105.36x = 493,000.32 × 151,368.68
  4. Step 4: Simplify right side
    329,105.36x = 74,624,807,677.98
  5. Step 5: Solve for x
    x = 74,624,807,677.98/329,105.36
  6. Step 6: Final answer
    x = 226,750.51

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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.