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Finding the Fourth Proportional to 329,251.85, 493,924.85 and 101,566.70

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Solution

The fourth proportional to 329,251.85, 493,924.85 and 101,566.70 is: 152,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,251.85 : 493,924.85 = 101,566.70 : x
  2. Step 2: Convert to fraction form
    329,251.85/493,924.85 = 101,566.70/x
  3. Step 3: Cross multiply
    329,251.85x = 493,924.85 × 101,566.70
  4. Step 4: Simplify right side
    329,251.85x = 50,166,318,551.22
  5. Step 5: Solve for x
    x = 50,166,318,551.22/329,251.85
  6. Step 6: Final answer
    x = 152,364.57

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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.