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Finding the Fourth Proportional to 471,891.84, 651,353.04 and 321,076.32

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Solution

The fourth proportional to 471,891.84, 651,353.04 and 321,076.32 is: 443,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,891.84 : 651,353.04 = 321,076.32 : x
  2. Step 2: Convert to fraction form
    471,891.84/651,353.04 = 321,076.32/x
  3. Step 3: Cross multiply
    471,891.84x = 651,353.04 × 321,076.32
  4. Step 4: Simplify right side
    471,891.84x = 209,134,037,104.01
  5. Step 5: Solve for x
    x = 209,134,037,104.01/471,891.84
  6. Step 6: Final answer
    x = 443,182.14

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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.