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Finding the Fourth Proportional to 471,617.82, 650,844.30 and 256,769.67

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Solution

The fourth proportional to 471,617.82, 650,844.30 and 256,769.67 is: 354,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,617.82 : 650,844.30 = 256,769.67 : x
  2. Step 2: Convert to fraction form
    471,617.82/650,844.30 = 256,769.67/x
  3. Step 3: Cross multiply
    471,617.82x = 650,844.30 × 256,769.67
  4. Step 4: Simplify right side
    471,617.82x = 167,117,076,132.38
  5. Step 5: Solve for x
    x = 167,117,076,132.38/471,617.82
  6. Step 6: Final answer
    x = 354,348.52

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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.