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Finding the Fourth Proportional to 458,164.62, 687,082.26 and 158,563.86

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Solution

The fourth proportional to 458,164.62, 687,082.26 and 158,563.86 is: 237,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,164.62 : 687,082.26 = 158,563.86 : x
  2. Step 2: Convert to fraction form
    458,164.62/687,082.26 = 158,563.86/x
  3. Step 3: Cross multiply
    458,164.62x = 687,082.26 × 158,563.86
  4. Step 4: Simplify right side
    458,164.62x = 108,946,415,283.12
  5. Step 5: Solve for x
    x = 108,946,415,283.12/458,164.62
  6. Step 6: Final answer
    x = 237,788.80

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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.