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Finding the Fourth Proportional to 458,272.91, 687,245.32 and 158,673.05

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Solution

The fourth proportional to 458,272.91, 687,245.32 and 158,673.05 is: 237,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,272.91 : 687,245.32 = 158,673.05 : x
  2. Step 2: Convert to fraction form
    458,272.91/687,245.32 = 158,673.05/x
  3. Step 3: Cross multiply
    458,272.91x = 687,245.32 × 158,673.05
  4. Step 4: Simplify right side
    458,272.91x = 109,047,311,022.63
  5. Step 5: Solve for x
    x = 109,047,311,022.63/458,272.91
  6. Step 6: Final answer
    x = 237,952.78

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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.