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Finding the Fourth Proportional to 458,313.76, 687,503.52 and 191,806

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Solution

The fourth proportional to 458,313.76, 687,503.52 and 191,806 is: 287,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,313.76 : 687,503.52 = 191,806 : x
  2. Step 2: Convert to fraction form
    458,313.76/687,503.52 = 191,806/x
  3. Step 3: Cross multiply
    458,313.76x = 687,503.52 × 191,806
  4. Step 4: Simplify right side
    458,313.76x = 131,867,300,157.12
  5. Step 5: Solve for x
    x = 131,867,300,157.12/458,313.76
  6. Step 6: Final answer
    x = 287,722.76

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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.