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Finding the Fourth Proportional to 306,082.20, 459,123.30 and 260,811.30

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Solution

The fourth proportional to 306,082.20, 459,123.30 and 260,811.30 is: 391,216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,082.20 : 459,123.30 = 260,811.30 : x
  2. Step 2: Convert to fraction form
    306,082.20/459,123.30 = 260,811.30/x
  3. Step 3: Cross multiply
    306,082.20x = 459,123.30 × 260,811.30
  4. Step 4: Simplify right side
    306,082.20x = 119,744,544,733.29
  5. Step 5: Solve for x
    x = 119,744,544,733.29/306,082.20
  6. Step 6: Final answer
    x = 391,216.95

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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.