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Finding the Fourth Proportional to 306,114.60, 459,171.90 and 221,477.70

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Solution

The fourth proportional to 306,114.60, 459,171.90 and 221,477.70 is: 332,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,114.60 : 459,171.90 = 221,477.70 : x
  2. Step 2: Convert to fraction form
    306,114.60/459,171.90 = 221,477.70/x
  3. Step 3: Cross multiply
    306,114.60x = 459,171.90 × 221,477.70
  4. Step 4: Simplify right side
    306,114.60x = 101,696,336,316.63
  5. Step 5: Solve for x
    x = 101,696,336,316.63/306,114.60
  6. Step 6: Final answer
    x = 332,216.55

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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.