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Finding the Fourth Proportional to 329,129.27, 493,711.02 and 104,507.31

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Solution

The fourth proportional to 329,129.27, 493,711.02 and 104,507.31 is: 156,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,129.27 : 493,711.02 = 104,507.31 : x
  2. Step 2: Convert to fraction form
    329,129.27/493,711.02 = 104,507.31/x
  3. Step 3: Cross multiply
    329,129.27x = 493,711.02 × 104,507.31
  4. Step 4: Simplify right side
    329,129.27x = 51,596,410,356.29
  5. Step 5: Solve for x
    x = 51,596,410,356.29/329,129.27
  6. Step 6: Final answer
    x = 156,766.40

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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.