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Finding the Fourth Proportional to 306,105.60, 459,158.40 and 221,468.70

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Solution

The fourth proportional to 306,105.60, 459,158.40 and 221,468.70 is: 332,203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,105.60 : 459,158.40 = 221,468.70 : x
  2. Step 2: Convert to fraction form
    306,105.60/459,158.40 = 221,468.70/x
  3. Step 3: Cross multiply
    306,105.60x = 459,158.40 × 221,468.70
  4. Step 4: Simplify right side
    306,105.60x = 101,689,213,942.08
  5. Step 5: Solve for x
    x = 101,689,213,942.08/306,105.60
  6. Step 6: Final answer
    x = 332,203.05

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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.