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Finding the Fourth Proportional to 329,123.79, 493,635.26 and 104,455.10

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Solution

The fourth proportional to 329,123.79, 493,635.26 and 104,455.10 is: 156,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,123.79 : 493,635.26 = 104,455.10 : x
  2. Step 2: Convert to fraction form
    329,123.79/493,635.26 = 104,455.10/x
  3. Step 3: Cross multiply
    329,123.79x = 493,635.26 × 104,455.10
  4. Step 4: Simplify right side
    329,123.79x = 51,562,721,942.05
  5. Step 5: Solve for x
    x = 51,562,721,942.05/329,123.79
  6. Step 6: Final answer
    x = 156,666.65

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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.