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Finding the Fourth Proportional to 326,884.98, 491,065.62 and 193,852.51

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Solution

The fourth proportional to 326,884.98, 491,065.62 and 193,852.51 is: 291,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,884.98 : 491,065.62 = 193,852.51 : x
  2. Step 2: Convert to fraction form
    326,884.98/491,065.62 = 193,852.51/x
  3. Step 3: Cross multiply
    326,884.98x = 491,065.62 × 193,852.51
  4. Step 4: Simplify right side
    326,884.98x = 95,194,301,784.04
  5. Step 5: Solve for x
    x = 95,194,301,784.04/326,884.98
  6. Step 6: Final answer
    x = 291,216.51

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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.