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Finding the Fourth Proportional to 469,785.51, 704,448.62 and 327,698.85

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Solution

The fourth proportional to 469,785.51, 704,448.62 and 327,698.85 is: 491,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,785.51 : 704,448.62 = 327,698.85 : x
  2. Step 2: Convert to fraction form
    469,785.51/704,448.62 = 327,698.85/x
  3. Step 3: Cross multiply
    469,785.51x = 704,448.62 × 327,698.85
  4. Step 4: Simplify right side
    469,785.51x = 230,847,001,019.59
  5. Step 5: Solve for x
    x = 230,847,001,019.59/469,785.51
  6. Step 6: Final answer
    x = 491,388.08

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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.