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Finding the Fourth Proportional to 328,558.64, 492,763.64 and 150,894.86

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Solution

The fourth proportional to 328,558.64, 492,763.64 and 150,894.86 is: 226,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,558.64 : 492,763.64 = 150,894.86 : x
  2. Step 2: Convert to fraction form
    328,558.64/492,763.64 = 150,894.86/x
  3. Step 3: Cross multiply
    328,558.64x = 492,763.64 × 150,894.86
  4. Step 4: Simplify right side
    328,558.64x = 74,355,499,716.42
  5. Step 5: Solve for x
    x = 74,355,499,716.42/328,558.64
  6. Step 6: Final answer
    x = 226,308.16

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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.