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Finding the Fourth Proportional to 474,839.62, 712,256.69 and 119,852.16

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Solution

The fourth proportional to 474,839.62, 712,256.69 and 119,852.16 is: 179,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,839.62 : 712,256.69 = 119,852.16 : x
  2. Step 2: Convert to fraction form
    474,839.62/712,256.69 = 119,852.16/x
  3. Step 3: Cross multiply
    474,839.62x = 712,256.69 × 119,852.16
  4. Step 4: Simplify right side
    474,839.62x = 85,365,500,399.62
  5. Step 5: Solve for x
    x = 85,365,500,399.62/474,839.62
  6. Step 6: Final answer
    x = 179,777.54

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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.