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Finding the Fourth Proportional to 294,904.56, 442,350.36 and 84,544.32

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Solution

The fourth proportional to 294,904.56, 442,350.36 and 84,544.32 is: 126,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,904.56 : 442,350.36 = 84,544.32 : x
  2. Step 2: Convert to fraction form
    294,904.56/442,350.36 = 84,544.32/x
  3. Step 3: Cross multiply
    294,904.56x = 442,350.36 × 84,544.32
  4. Step 4: Simplify right side
    294,904.56x = 37,398,210,387.96
  5. Step 5: Solve for x
    x = 37,398,210,387.96/294,904.56
  6. Step 6: Final answer
    x = 126,814.62

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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.