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Finding the Fourth Proportional to 294,756.94, 442,092.34 and 144,957.03

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Solution

The fourth proportional to 294,756.94, 442,092.34 and 144,957.03 is: 217,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,756.94 : 442,092.34 = 144,957.03 : x
  2. Step 2: Convert to fraction form
    294,756.94/442,092.34 = 144,957.03/x
  3. Step 3: Cross multiply
    294,756.94x = 442,092.34 × 144,957.03
  4. Step 4: Simplify right side
    294,756.94x = 64,084,392,592.15
  5. Step 5: Solve for x
    x = 64,084,392,592.15/294,756.94
  6. Step 6: Final answer
    x = 217,414.36

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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.