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Finding the Fourth Proportional to 471,770.30, 651,050.80 and 256,914.56

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Solution

The fourth proportional to 471,770.30, 651,050.80 and 256,914.56 is: 354,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,770.30 : 651,050.80 = 256,914.56 : x
  2. Step 2: Convert to fraction form
    471,770.30/651,050.80 = 256,914.56/x
  3. Step 3: Cross multiply
    471,770.30x = 651,050.80 × 256,914.56
  4. Step 4: Simplify right side
    471,770.30x = 167,264,429,819.65
  5. Step 5: Solve for x
    x = 167,264,429,819.65/471,770.30
  6. Step 6: Final answer
    x = 354,546.33

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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.