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Finding the Fourth Proportional to 294,598.89, 442,092.12 and 161,572.56

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Solution

The fourth proportional to 294,598.89, 442,092.12 and 161,572.56 is: 242,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,598.89 : 442,092.12 = 161,572.56 : x
  2. Step 2: Convert to fraction form
    294,598.89/442,092.12 = 161,572.56/x
  3. Step 3: Cross multiply
    294,598.89x = 442,092.12 × 161,572.56
  4. Step 4: Simplify right side
    294,598.89x = 71,429,955,584.23
  5. Step 5: Solve for x
    x = 71,429,955,584.23/294,598.89
  6. Step 6: Final answer
    x = 242,465.12

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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.