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Finding the Fourth Proportional to 294,265, 441,398.94 and 72,649

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Solution

The fourth proportional to 294,265, 441,398.94 and 72,649 is: 108,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,265 : 441,398.94 = 72,649 : x
  2. Step 2: Convert to fraction form
    294,265/441,398.94 = 72,649/x
  3. Step 3: Cross multiply
    294,265x = 441,398.94 × 72,649
  4. Step 4: Simplify right side
    294,265x = 32,067,191,592.06
  5. Step 5: Solve for x
    x = 32,067,191,592.06/294,265
  6. Step 6: Final answer
    x = 108,973.86

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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.