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Finding the Fourth Proportional to 456,020.56, 684,030.84 and 123,596.56

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Solution

The fourth proportional to 456,020.56, 684,030.84 and 123,596.56 is: 185,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,020.56 : 684,030.84 = 123,596.56 : x
  2. Step 2: Convert to fraction form
    456,020.56/684,030.84 = 123,596.56/x
  3. Step 3: Cross multiply
    456,020.56x = 684,030.84 × 123,596.56
  4. Step 4: Simplify right side
    456,020.56x = 84,543,858,757.91
  5. Step 5: Solve for x
    x = 84,543,858,757.91/456,020.56
  6. Step 6: Final answer
    x = 185,394.84

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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.