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Finding the Fourth Proportional to 317,919.56, 477,009.90 and 151,601.48

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Solution

The fourth proportional to 317,919.56, 477,009.90 and 151,601.48 is: 227,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,919.56 : 477,009.90 = 151,601.48 : x
  2. Step 2: Convert to fraction form
    317,919.56/477,009.90 = 151,601.48/x
  3. Step 3: Cross multiply
    317,919.56x = 477,009.90 × 151,601.48
  4. Step 4: Simplify right side
    317,919.56x = 72,315,406,814.65
  5. Step 5: Solve for x
    x = 72,315,406,814.65/317,919.56
  6. Step 6: Final answer
    x = 227,464.48

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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.