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Finding the Fourth Proportional to 308,062.02, 461,041.65 and 258,198.42

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Solution

The fourth proportional to 308,062.02, 461,041.65 and 258,198.42 is: 386,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,062.02 : 461,041.65 = 258,198.42 : x
  2. Step 2: Convert to fraction form
    308,062.02/461,041.65 = 258,198.42/x
  3. Step 3: Cross multiply
    308,062.02x = 461,041.65 × 258,198.42
  4. Step 4: Simplify right side
    308,062.02x = 119,040,225,584.19
  5. Step 5: Solve for x
    x = 119,040,225,584.19/308,062.02
  6. Step 6: Final answer
    x = 386,416.43

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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.