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Finding the Fourth Proportional to 409,796.58, 613,617.84 and 329,407.86

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Solution

The fourth proportional to 409,796.58, 613,617.84 and 329,407.86 is: 493,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,796.58 : 613,617.84 = 329,407.86 : x
  2. Step 2: Convert to fraction form
    409,796.58/613,617.84 = 329,407.86/x
  3. Step 3: Cross multiply
    409,796.58x = 613,617.84 × 329,407.86
  4. Step 4: Simplify right side
    409,796.58x = 202,130,539,532.22
  5. Step 5: Solve for x
    x = 202,130,539,532.22/409,796.58
  6. Step 6: Final answer
    x = 493,246.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.