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Finding the Fourth Proportional to 306,559.68, 459,705.46 and 154,663.30

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Solution

The fourth proportional to 306,559.68, 459,705.46 and 154,663.30 is: 231,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,559.68 : 459,705.46 = 154,663.30 : x
  2. Step 2: Convert to fraction form
    306,559.68/459,705.46 = 154,663.30/x
  3. Step 3: Cross multiply
    306,559.68x = 459,705.46 × 154,663.30
  4. Step 4: Simplify right side
    306,559.68x = 71,099,563,471.62
  5. Step 5: Solve for x
    x = 71,099,563,471.62/306,559.68
  6. Step 6: Final answer
    x = 231,927.32

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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.