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Finding the Fourth Proportional to 294,875.94, 442,310.25 and 207,963.90

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Solution

The fourth proportional to 294,875.94, 442,310.25 and 207,963.90 is: 311,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,875.94 : 442,310.25 = 207,963.90 : x
  2. Step 2: Convert to fraction form
    294,875.94/442,310.25 = 207,963.90/x
  3. Step 3: Cross multiply
    294,875.94x = 442,310.25 × 207,963.90
  4. Step 4: Simplify right side
    294,875.94x = 91,984,564,599.98
  5. Step 5: Solve for x
    x = 91,984,564,599.98/294,875.94
  6. Step 6: Final answer
    x = 311,943.27

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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.