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Finding the Fourth Proportional to 328,559.64, 492,765.13 and 150,895.86

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Solution

The fourth proportional to 328,559.64, 492,765.13 and 150,895.86 is: 226,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,559.64 : 492,765.13 = 150,895.86 : x
  2. Step 2: Convert to fraction form
    328,559.64/492,765.13 = 150,895.86/x
  3. Step 3: Cross multiply
    328,559.64x = 492,765.13 × 150,895.86
  4. Step 4: Simplify right side
    328,559.64x = 74,356,218,069.36
  5. Step 5: Solve for x
    x = 74,356,218,069.36/328,559.64
  6. Step 6: Final answer
    x = 226,309.65

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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.