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Finding the Fourth Proportional to 471,858.12, 651,596.94 and 299,832.78

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Solution

The fourth proportional to 471,858.12, 651,596.94 and 299,832.78 is: 414,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,858.12 : 651,596.94 = 299,832.78 : x
  2. Step 2: Convert to fraction form
    471,858.12/651,596.94 = 299,832.78/x
  3. Step 3: Cross multiply
    471,858.12x = 651,596.94 × 299,832.78
  4. Step 4: Simplify right side
    471,858.12x = 195,370,121,959.69
  5. Step 5: Solve for x
    x = 195,370,121,959.69/471,858.12
  6. Step 6: Final answer
    x = 414,044.21

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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.