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Finding the Fourth Proportional to 471,882.34, 651,339.93 and 321,066.82

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Solution

The fourth proportional to 471,882.34, 651,339.93 and 321,066.82 is: 443,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,882.34 : 651,339.93 = 321,066.82 : x
  2. Step 2: Convert to fraction form
    471,882.34/651,339.93 = 321,066.82/x
  3. Step 3: Cross multiply
    471,882.34x = 651,339.93 × 321,066.82
  4. Step 4: Simplify right side
    471,882.34x = 209,123,640,064.12
  5. Step 5: Solve for x
    x = 209,123,640,064.12/471,882.34
  6. Step 6: Final answer
    x = 443,169.03

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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.