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Finding the Fourth Proportional to 294,634.88, 441,952.35 and 105,087.59

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Solution

The fourth proportional to 294,634.88, 441,952.35 and 105,087.59 is: 157,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,634.88 : 441,952.35 = 105,087.59 : x
  2. Step 2: Convert to fraction form
    294,634.88/441,952.35 = 105,087.59/x
  3. Step 3: Cross multiply
    294,634.88x = 441,952.35 × 105,087.59
  4. Step 4: Simplify right side
    294,634.88x = 46,443,705,146.57
  5. Step 5: Solve for x
    x = 46,443,705,146.57/294,634.88
  6. Step 6: Final answer
    x = 157,631.39

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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.