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Finding the Fourth Proportional to 329,269.24, 493,988.86 and 101,559.74

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Solution

The fourth proportional to 329,269.24, 493,988.86 and 101,559.74 is: 152,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,269.24 : 493,988.86 = 101,559.74 : x
  2. Step 2: Convert to fraction form
    329,269.24/493,988.86 = 101,559.74/x
  3. Step 3: Cross multiply
    329,269.24x = 493,988.86 × 101,559.74
  4. Step 4: Simplify right side
    329,269.24x = 50,169,380,184.50
  5. Step 5: Solve for x
    x = 50,169,380,184.50/329,269.24
  6. Step 6: Final answer
    x = 152,365.83

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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.