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Finding the Fourth Proportional to 294,852.84, 442,344.87 and 84,474.38

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Solution

The fourth proportional to 294,852.84, 442,344.87 and 84,474.38 is: 126,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,852.84 : 442,344.87 = 84,474.38 : x
  2. Step 2: Convert to fraction form
    294,852.84/442,344.87 = 84,474.38/x
  3. Step 3: Cross multiply
    294,852.84x = 442,344.87 × 84,474.38
  4. Step 4: Simplify right side
    294,852.84x = 37,366,806,427.71
  5. Step 5: Solve for x
    x = 37,366,806,427.71/294,852.84
  6. Step 6: Final answer
    x = 126,730.36

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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.