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Finding the Fourth Proportional to 294,598.16, 442,090.97 and 161,571.80

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Solution

The fourth proportional to 294,598.16, 442,090.97 and 161,571.80 is: 242,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,598.16 : 442,090.97 = 161,571.80 : x
  2. Step 2: Convert to fraction form
    294,598.16/442,090.97 = 161,571.80/x
  3. Step 3: Cross multiply
    294,598.16x = 442,090.97 × 161,571.80
  4. Step 4: Simplify right side
    294,598.16x = 71,429,430,768.33
  5. Step 5: Solve for x
    x = 71,429,430,768.33/294,598.16
  6. Step 6: Final answer
    x = 242,463.94

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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.