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Finding the Fourth Proportional to 471,598.34, 650,785.29 and 256,739.15

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Solution

The fourth proportional to 471,598.34, 650,785.29 and 256,739.15 is: 354,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,598.34 : 650,785.29 = 256,739.15 : x
  2. Step 2: Convert to fraction form
    471,598.34/650,785.29 = 256,739.15/x
  3. Step 3: Cross multiply
    471,598.34x = 650,785.29 × 256,739.15
  4. Step 4: Simplify right side
    471,598.34x = 167,082,062,851.30
  5. Step 5: Solve for x
    x = 167,082,062,851.30/471,598.34
  6. Step 6: Final answer
    x = 354,288.92

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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.