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Finding the Fourth Proportional to 294,402.88, 441,275.84 and 116,862.40

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Solution

The fourth proportional to 294,402.88, 441,275.84 and 116,862.40 is: 175,163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,402.88 : 441,275.84 = 116,862.40 : x
  2. Step 2: Convert to fraction form
    294,402.88/441,275.84 = 116,862.40/x
  3. Step 3: Cross multiply
    294,402.88x = 441,275.84 × 116,862.40
  4. Step 4: Simplify right side
    294,402.88x = 51,568,553,724.42
  5. Step 5: Solve for x
    x = 51,568,553,724.42/294,402.88
  6. Step 6: Final answer
    x = 175,163.21

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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.