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Finding the Fourth Proportional to 471,023.29, 650,005.86 and 256,158.73

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Solution

The fourth proportional to 471,023.29, 650,005.86 and 256,158.73 is: 353,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,023.29 : 650,005.86 = 256,158.73 : x
  2. Step 2: Convert to fraction form
    471,023.29/650,005.86 = 256,158.73/x
  3. Step 3: Cross multiply
    471,023.29x = 650,005.86 × 256,158.73
  4. Step 4: Simplify right side
    471,023.29x = 166,504,675,590.16
  5. Step 5: Solve for x
    x = 166,504,675,590.16/471,023.29
  6. Step 6: Final answer
    x = 353,495.63

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1.5x scale

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.