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Finding the Fourth Proportional to 471,630.34, 650,828.42 and 256,769.94

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Solution

The fourth proportional to 471,630.34, 650,828.42 and 256,769.94 is: 354,330.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,630.34 : 650,828.42 = 256,769.94 : x
  2. Step 2: Convert to fraction form
    471,630.34/650,828.42 = 256,769.94/x
  3. Step 3: Cross multiply
    471,630.34x = 650,828.42 × 256,769.94
  4. Step 4: Simplify right side
    471,630.34x = 167,113,173,069.85
  5. Step 5: Solve for x
    x = 167,113,173,069.85/471,630.34
  6. Step 6: Final answer
    x = 354,330.84

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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.