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Finding the Fourth Proportional to 471,258.35, 650,352.72 and 256,406.56

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Solution

The fourth proportional to 471,258.35, 650,352.72 and 256,406.56 is: 353,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,258.35 : 650,352.72 = 256,406.56 : x
  2. Step 2: Convert to fraction form
    471,258.35/650,352.72 = 256,406.56/x
  3. Step 3: Cross multiply
    471,258.35x = 650,352.72 × 256,406.56
  4. Step 4: Simplify right side
    471,258.35x = 166,754,702,095.96
  5. Step 5: Solve for x
    x = 166,754,702,095.96/471,258.35
  6. Step 6: Final answer
    x = 353,849.87

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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.