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Finding the Fourth Proportional to 329,052.56, 493,580.34 and 101,345.46

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Solution

The fourth proportional to 329,052.56, 493,580.34 and 101,345.46 is: 152,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,052.56 : 493,580.34 = 101,345.46 : x
  2. Step 2: Convert to fraction form
    329,052.56/493,580.34 = 101,345.46/x
  3. Step 3: Cross multiply
    329,052.56x = 493,580.34 × 101,345.46
  4. Step 4: Simplify right side
    329,052.56x = 50,022,126,604.26
  5. Step 5: Solve for x
    x = 50,022,126,604.26/329,052.56
  6. Step 6: Final answer
    x = 152,018.65

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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.