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Finding the Fourth Proportional to 306,561.91, 459,178.24 and 148,458.82

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Solution

The fourth proportional to 306,561.91, 459,178.24 and 148,458.82 is: 222,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,561.91 : 459,178.24 = 148,458.82 : x
  2. Step 2: Convert to fraction form
    306,561.91/459,178.24 = 148,458.82/x
  3. Step 3: Cross multiply
    306,561.91x = 459,178.24 × 148,458.82
  4. Step 4: Simplify right side
    306,561.91x = 68,169,059,680.08
  5. Step 5: Solve for x
    x = 68,169,059,680.08/306,561.91
  6. Step 6: Final answer
    x = 222,366.37

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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.