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Finding the Fourth Proportional to 471,460.79, 650,629.68 and 256,614.77

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Solution

The fourth proportional to 471,460.79, 650,629.68 and 256,614.77 is: 354,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,460.79 : 650,629.68 = 256,614.77 : x
  2. Step 2: Convert to fraction form
    471,460.79/650,629.68 = 256,614.77/x
  3. Step 3: Cross multiply
    471,460.79x = 650,629.68 × 256,614.77
  4. Step 4: Simplify right side
    471,460.79x = 166,961,185,688.37
  5. Step 5: Solve for x
    x = 166,961,185,688.37/471,460.79
  6. Step 6: Final answer
    x = 354,135.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.