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Finding the Fourth Proportional to 294,086.64, 441,275.76 and 116,589.72

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Solution

The fourth proportional to 294,086.64, 441,275.76 and 116,589.72 is: 174,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,086.64 : 441,275.76 = 116,589.72 : x
  2. Step 2: Convert to fraction form
    294,086.64/441,275.76 = 116,589.72/x
  3. Step 3: Cross multiply
    294,086.64x = 441,275.76 × 116,589.72
  4. Step 4: Simplify right side
    294,086.64x = 51,448,217,301.19
  5. Step 5: Solve for x
    x = 51,448,217,301.19/294,086.64
  6. Step 6: Final answer
    x = 174,942.38

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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.